Wednesday

August 27, 2014

August 27, 2014

Posted by **Anna** on Sunday, September 12, 2010 at 12:34pm.

The limit of (sqrt(x+1)-2)/(x-3) as x tends to 3.

The limit of (sqrt(x+5)-sqrt(5))/x as x tends to 0

- calculus -
**bobpursley**, Sunday, September 12, 2010 at 12:51pmrationalize the numerator: I will do the first.

Numerator: (sqrt(x+1)-2)(sqrt(x+1)+2_

x+2-4=x-2 as x>3, it approaches 1

Denominator: ((x-3)(sqrt(x+1)+2)

xsqrt(x+1)+2x-3sqrt(x+1)-6

as x>3

3sqrt4+6-3sqrt(4)-6

6+6-6-6 still zero.

so you have as the limit 1/0, it does not exist.

**Related Questions**

Calculus - The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2...

Calculus - The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2...

Maths - The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2...

Math - The following sum [(sqrt(36-((6/n)^2))).(6/n)] + [(sqrt(36-((12/n)^2))).(...

Math(Please check) - Determine whether on not the following limit exists. If, so...

Calculus Fundamental Theorem - Evaluate the definite integral. function: (t+8)(t...

calculus - A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)...

Calculus - A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)...

calculus - A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)...

calculus - Recall that a function G(x) has the limit L as x tends to infinity, ...