Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

12,137 questions

16,800 answers

1,421 comments

10,650 users

limits question please help|||||||||||||||||||||

0 votes

find lim (sqr(x+5)-sqr(5))/x as x approaches 0

 

asked Dec 25, 2012 in PRECALCULUS by johnkelly Apprentice
reshown Dec 25, 2012 by bradely

1 Answer

0 votes
lt      sqrt (x+5)-sqrt5 / x

x→0

⇒lt        sqrt (x+5)-sqrt5 / x *sqrt(x+5)+sqrt5 / sqrt(x+5)+sqrt5

x→0

⇒lt        (x+5)-5 / x*sqrt(x+5)+sqrt5

x→0

⇒lt           x /x*sqrt(x+5)+sqrt5

x→0

⇒lt         1 / sqrt(x+5)+sqrt5

x→0

⇒1 / sqrt(0+5)+sqrt5

⇒1 / sqrt5+sqrt5

⇒1/2*sqrt5

lt        sqrt(x+5)-sqrt5 / x  =1 /2*sqrt5

x→0
answered Dec 26, 2012 by ricky Pupil

Related questions

asked Aug 5, 2014 in PRECALCULUS by anonymous
asked Feb 7, 2015 in CALCULUS by anonymous
asked Jan 29, 2015 in PRECALCULUS by anonymous
asked Jan 29, 2015 in PRECALCULUS by anonymous
asked Jan 29, 2015 in PRECALCULUS by anonymous
...