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Mathematics 22 Online
OpenStudy (anonymous):

solve limx4 (sqrt 8-x)-2/(sqrt 5-x)-1

OpenStudy (anonymous):

can you please show me step by step thanks

OpenStudy (angela210793):

lim x-->4 F(x)=F(4)=sqr (8-4)-2/sqr(5-4)-1=0/0 indefinite form

OpenStudy (angela210793):

so we can use Hopital's rule

OpenStudy (angela210793):

http://en.wikipedia.org/wiki/L'H%C3%B4pital's_rule

OpenStudy (angela210793):

lim x-->4 [(sqr8-x)-2]'/[(sqr5-x)-1]'

OpenStudy (angela210793):

Do u know derivatives?

OpenStudy (anonymous):

i got the denomiator 0 and the numerator zero as well

OpenStudy (anonymous):

not yet im currently taking calc

OpenStudy (angela210793):

yea u can use Hopital's rule when u get 0/0 or infinite/infinite

OpenStudy (anonymous):

ok thanks

OpenStudy (angela210793):

[(sqr8-x)-2]'=1/2sqr(8-x) and [(sqr5-x)-1]'=1/2sqr(5-x) so we'll have 1/2sqr(8-x) 2sqr(5-x) lim x-->4 -------------=lim x-->4------------=1/2 1/2sqr(5-x) 2sqr(8-x)

OpenStudy (angela210793):

Got it?

OpenStudy (anonymous):

yes!! now i understand completely thank you soooo much..Im gonna refer to this as much as i can remeber

OpenStudy (angela210793):

Happy i helped :)

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