Posted by Shayna on Monday, October 3, 2011 at 11:49pm.
Rationalize the denominator, that is, multiply top and bottom by √(2x+2) + 2 to give you
lim [(x^2 - 1)/(√(2x+2) - 2) ] * (√(2x+2) + 2)/(√(2x+2) + 2)
= (x+1)(x-1)(√(2x+2) + 2)/(2x+2 - 4)
= (x+1)(x-1)(√(2x+2) + 2)/( 2(x-1))
= lim (x+1)(√(2x+2) + 2)/2 as x --> 1
= 2(√4+2)/2 = 4
Related Questions
Calculus - Find the following limits algebraically or explain why they don’...
math calculus please help! - l = lim as x approaches 0 of x/(the square root of...
calculus - Using the 4 step method fidn teh derivative of F(x) =1/(x^2) 1) I got...
calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try ...
Calculus..more help! - I have a question relating to limits that I solved lim(x...
Math(calculus) - Evaluat d 4lowing1.lim x/|x| x-->0 2.lim x->1 ...
calc - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- ...
Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/...
math - i need some serious help with limits in pre-calc. here are a few ...
Calc Please Help - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I ...
For Further Reading
