# en/19b5lVHbj78l.xml.gz
# som/19b5lVHbj78l.xml.gz
(src)="1"> Welcome back .
(trg)="1"> Soo dhawaw markale
(src)="2"> Now that we hopefully have a little bit of an intuition of what a limit is , or finding the limit of a function is ,
(src)="3"> let 's do some problems .
(src)="4"> Some of these you might actually see on your exams or when you 're actually trying to solve a general limit problem .
(trg)="2"> Waxaan u malaynayaa inaan xoogaha ka fahamnay waxa uu yahay limit ama sida loo helo functionka limit hada aan samayno dhowr mithaalo waxaa laga yaabaa kuwo kamid ahna inaad horey u soo aragteen marka aad rabto inaad xaliso problem limit ah aan markale is waydiino muxuu yahay limitka oh qalinka ayaan ii shaqaynayin
(src)="6"> What is the limit as x approaches -- let 's say negative 1 .
(src)="7"> And let me see , what 's a good -- let 's say my expression is --
(src)="8"> I 'll put it in parentheses so it 's cleaner .
(trg)="3"> Muxuu limitka marka x uu u dhowyahay dheh negative 1 aan iraahdo tusaalahayga waa parentheses ayaan galineyaa si uu u cadaado waa 2x plus 2 oo loo qaybiyay x plus 1
(src)="10"> So the first thing I would always try to do is just say what happens if I just stick x straight into this expression ?
(src)="11"> What happens ?
(src)="12"> Well , what 's 2x plus 2 when x is equal to negative 1 ?
(trg)="4"> Waxaa ugu horeeya oo aan ku sheegayaa inaad marwalbo samayso waa inaad isku daydaa maxaa dhici hadii x aan si toos ah u dhexgaliyo expressionka ? maxaa dhacaaya dabdan waa 2x plus 2 marka x ee la eg yahay negative 1 2 lagu dhuftay negative 1 2 lagu dhuftay negative 1 oo lagu daray 2 oo loo qaybiyay negative 1 oo lagu daray 1 numeratorka waa negative 2 oo lagu daray 2 taasoo le eh 0 muxuu yahay denominator
(src)="16"> Negative 1 plus 1 .
(src)="17"> Over 0 .
(src)="18"> And do we know what 0 over 0 is ?
(trg)="5"> Negative 1 oo lagu daray 1 0 haye muxuu yahay 0 oo loo qaybiyay 0 ? haye muxu yahay waa wax aan la qeexin kani wuxuu lamid yahay kii aan kusoo aragnay mithaalkii hore kaaasoo limit ka uusan la ekaan waxa expressionka uu la egyahay markaad ku bedelato numberka aad xalinaysid inaad hesho sababtoo ah jawaabta waxay noqonaysaa wax aan la qeexin hada aan fiirino qaabka limit hadii aan ku xalin karno jawaab taas ka fiican marka aan kudhownahay numberkaas hadana maadaama aan bilow ku nahay limitka aan sawiro graph kaasoo aad si fudud ugu fahmi kartid waxa aan samaynayno jawaabta si fudud ayuu kuu siinayaa kadibna qaabka loo analyse gareeyo ayaan kuu sheegayaa hadaba aan sawiro graphka
(src)="29"> Actually , I 'll do the graphical and the analytical at the same time .
(src)="30"> So I want to rewrite this expression in a way that maybe I can simplify it .
(src)="31"> So 2x plus 2 .
(trg)="6"> labada waa samaynayaa , graphka iyo qaabka analytical ka waqti isku mid ah hadaba aan si kale u qoro expressionka dabcan wan fududayn karaa hadabo 2x oo lagu daray 2 miyaysan lamid ahayn2 lagu dhuftay x oo lagu daray 1 ?
(src)="33"> 2 times x plus 1 , right ?
(trg)="7"> 2 lagy dhuftay x oo lagu daray 1 , sax ?
(src)="34"> 2x plus 2 is the same thing as 2 times x plus one , and then all of that is over x plus 1 .
(src)="35"> So as long as this expression and this expression don 't equal 0 , it actually turns out that this function -- let 's say this is f of x , right ?
(src)="36"> This function .
(trg)="8"> 2x oo lagu daray 2 waxay lamid tahay 2 lagu dhuftay x oo lagu daray 1 kadibna intaas oo idil oo loo qaybiyay x oo lagu daray 1 hadaba inta labada expression aysan isla sinnayn 0, functionkan runtii wuxuu noqonayaa , aan iraahno f( x ) sax ? function kan dhaman value yada marka laga reebo x wuxuu la mid yahay negative 1 , waad isku bixin kartaa kan iyo kaas hadaba f( x ) wuxuu la mid yahay .. aan fiiriyo tool kan ka fiican f( x) =2 marka x uusan la sinnayn negative 1 waana soo aragnay marka x uu la mid yahay nagative 1 in expression ka uusan qeexnayn waa undefined marka x uu la mid yahay negative 1 haye sideen u graphi karnaa kan ? waxaan sheegnay in f( x ) uu la mid yahay 2 marka x uusan la sinnayn negative 1 isla markaasna f( x ) uusan qeexnayn marka x uu la mid yahay negative 1 hadaba si kale ayaan u qoray isla functionkii sax ? waxaan kusoo tusay inaad fududayn kartid markaan u qaybiyo kor iyo hoos x oo lagu dary 1 mar hadii x uusan
(src)="44"> I showed that I could simplify and I could divide the numerator and denominator by x plus 1 as long as x does not equal negative 1 , and that otherwise , it 's undefined .
(src)="45"> So let me graph this .
(src)="46"> I 'm going to get a different color .
(trg)="9"> lamid ahayn negative 1 , kaasoo ka dhigaya expression ka mid aan qeexnayn hadaba aan grapho color kale aan soo baxsado aan iska haysto qalinka gaduudan kan waa labo waxaan aragnaa in x aan iraahdo kan waa negative 1 qiimo walbo marka laga reebo negative 1 , in qiimaha uu yahay kan , f( x ) inuu la mid yahay 2 kan waa 1 , kana waa 2 kana waa sadax iyo wixii kawayn negative 1 , graphka ma qeexna hadaba xariijin ayaa halkaas ku samaysayn kadib dhanka bidix ayaan u soconaynaa hadaba limitka waxaan u samayn karnaa muuqaal ahaan color kale aan doorto marka x ka yimaado dhanka bidix muxuu la mid yahay f( x ) wuxuu lamid yahay 2, 2, 2, 2, 2 , f( x ) waa labo
# en/1vMrbuLKJAq1.xml.gz
# som/1vMrbuLKJAq1.xml.gz
(src)="2"> Many people -- 20 years for Somalia -- [ were ] fighting .
(trg)="2"> Dad aad ubadan -- 20 sano ee Somalia ayaa isku dagalaayay .
(src)="3"> So there was no job , no food .
(trg)="3"> Shaqa iyo cunaba toona maysan jidhin .
(src)="4"> Children , most of them , became very malnourished , like this .
(trg)="4"> Caruurta badankooda waxay noqdeen kuwa nafaqa dareeysan , sidaan oo kale
(src)="5"> Deqo Mohamed :
(trg)="5"> Deqo Mohamed :
(src)="6"> So as you know , always in a civil war , the ones affected most [ are ] the women and children .
(trg)="6"> Sida aad ogtihiin
(trg)="7"> Dagaalada sokeeya inta ay socdaan kuwa aay badanaa saameyso waa caruurta iyo dumarka
(src)="7"> So our patients are women and children .
(trg)="8"> Marka , bukaanadeenu waa dumar iyo caruur .
(src)="8"> And they are in our backyard .
(src)="9"> It 's our home .
(trg)="9"> Waxay ku jiraan deyrkeena . waa gurigeena .
(src)="10"> We welcome them .
(src)="11"> That 's the camp that we have in now 90, 000 people , where 75 percent of them are women and children .
(trg)="10"> Waan kusoo dhaweynaa . waa xerada aan hada ku hayno dad gaarayo 90, 000 , halka 75 % ay yihiin dumar iyo caruur .
(src)="12"> Pat Mitchell :
(trg)="11"> Pat Mitchell :
(src)="16"> We are doing C- sections and different operations because people need some help .
(trg)="12"> Kani waa isbitaalkiin . halkani waa gudaha .
(trg)="14"> Waxaynu sameynaa qeebaha C iyo hoolgalo kala duwan maxa yelay dadku waxay u baahan yihiin caawimad .
(src)="15"> HA :
(trg)="13"> HA :
(src)="17"> There is no government to protect them .
(trg)="15"> Dowlad difaacda majirto .
(src)="19"> Every morning we have about 400 patients , maybe more or less .
(trg)="16"> DM :
(trg)="17"> Bukaano gaaraya 400 ayaan subax walbo daaweynaa , weey ka badataan ama ka yaaradaan .
(src)="20"> But sometimes we are only five doctors and 16 nurses , and we are physically getting exhausted to see all of them .
(trg)="18"> Mararka qaar waxaynu nahay kaliya 5 dhaqaatiir iyo 16 kalkaaliyal . jismiyan aad baan u daalnaa si aan dhamaantooda u qaabilno .
(src)="21"> But we take the severe ones , and we reschedule the other ones the next day .
(src)="22"> It is very tough .
(trg)="19"> Laakin waxan qaabilnaa kuwa daran oo kaliya , kuwa kalena waxaan dib u balaminaa maalinta xigta . aad beey u adagtahay .
(src)="23"> And as you can see , it 's the women who are carrying the children ; it 's the women who come into the hospitals ; it 's the women [ are ] building the houses .
(src)="24"> That 's their house .
(trg)="20"> Sida aad u jeedo , dumarka ayaa caruurta wadaan ; waa dumar kuwa isbitaalka imaada ; waa dumar kuwa dhisayo guryaha . kaasi waa gurigooda .
(src)="25"> And we have a school .
(trg)="21"> Iskuul ayeeynu leenahay .