Wednesday

September 17, 2014

September 17, 2014

Posted by **Shayna** on Monday, October 3, 2011 at 11:49pm.

- Calculus -
**Reiny**, Tuesday, October 4, 2011 at 8:06amRationalize 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

**Answer this Question**

**Related Questions**

math calculus please help! - l = lim as x approaches 0 of x/(the square root of...

Math(calculus) - Evaluat d 4lowing1.lim x/|x| x-->0 2.lim x->1 sqrt(x^2+2...

Calculus - Find the following limits algebraically or explain why they don’t ...

Calculus - show lim x->3 (sqrt(x)) = (sqrt(c)) hint: 0< |sqrt(x)-sqrt(c...

Calculus - show lim x->3 (sqrt(x)) = (sqrt(c)) hint: 0< |sqrt(x)-sqrt(c...

Check my CALCULUS work, please! :) - Question 1. lim h->0(sqrt 49+h-7)/h = ...

Calculus - find lim f(x) - lim f(x) x->infinity x->-infinity if f(x)=ln (x...

CALCULUS - Could someone please solve these four problems with explanations? I'd...

Probability - Let Sn be the number of successes in n independent Bernoulli ...

calculus - A sequence{an} is given by a1=sqrt(2), an+1=sqrt(2*an). a) by ...