Posted by **Jessica** on Thursday, June 21, 2012 at 1:43pm.

Evaluate each limit. If it exists.

a) Lim x^3 + 1

x->1 -------

x + 1

b) Lim 3x^2 - x^3

x->0 ----------

x^3 + 4x^2

c) Lim 16 - x

x->16 ---------

(√x) - 4

- Calculus -
**Steve**, Thursday, June 21, 2012 at 4:08pm
do you mean x --> -1? Otherwise, there's no problem evaluating the fraction.

x^3+1 = (x+1)(x^2-x+1)

divide out the (x+1) to get

limit = 3

or, using L'Hopital's rule,

lim (3x^2)/1 = 3

x^2(3-x) / x^2(x+4) = (3-x)/(x+4) --> 3/4

lim (16-x)/(√x-4) = lim (-1)/(1/(2√x)) = -1/(1/8) = -8

or, divide out the √x-4, since 16-x = -(√x-4)(√x+4) --> -8

## Answer This Question

## Related Questions

- math - i need some serious help with limits in pre-calc. here are a few ...
- calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...
- Calculus - uu) lim ln(1-x) as x->1- yy) lim (√(6-x)-2)/(√(3-x)-1...
- Calculus - Find the following limits algebraically or explain why they don’t ...
- Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...
- CALCULUS - need help! - Determine the limit of the trigonometric function (if it...
- CALCULUS - Evaluate each of the following. (a) lim x->0(e^x)-1-x/ x^2 (b) lim...
- Calculus - Find the indicated limits. If the limit does not exist, so state, or ...
- Calculus - Find the indicated limits. If the limit does not exist, so state, or ...
- Check my CALCULUS work, please! :) - Question 1. lim h->0(sqrt 49+h-7)/h = ...

More Related Questions