Friday

September 19, 2014

September 19, 2014

Posted by **angie** on Thursday, March 15, 2012 at 11:32am.

lim x->0 sin5x/2x

lim x->0 1-cosx/x

lim x->7 |x-7|/x-7

lim x->7 (/x+2)-3/x-7

lim h->0 (2+h)^3-8/h

lim t->0 1/t - 1/t^2+t

- Calculus -
**Reiny**, Thursday, March 15, 2012 at 11:57ama lot of your questions contain ambiguous typing

e.g. the second last one probably says

lim ( (2+h)^3 - 8)/h as h --> 0

You could expand the top, or recognize it as a difference of cubes

recall A^3 - B^3 = (A-B)(A^2 + AB + B^2)

= lim [(2+h - 2)((2+h)^2 + 2(2+h) + 4) )/h , h--->0

= lim (2+h)^2 + 2(2+h) + 4 , h--> 0

= 4 + 4 + 4 = 12

for the first one

I will again assume you meant

lim sin (5x) / (2x) , as x --> 0

recall that lim sin/ = 1 as -->0

so let's "construct" this pattern

multiply top and bottom by (5/2)

so

lim sin (5x) / (2x) , as x --> 0

= lim (5/2)sin (5x)/( (2x)(5/2)

= (5/2) lim sin (5x) / (5x) , as x--->0

= (5/2)(1) = 5/2

try some of the others now after checking on your typing using brackets.

**Answer this Question**

**Related Questions**

calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...

Calculus..more help! - I have a question relating to limits that I solved lim(x...

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 ...

math - i need some serious help with limits in pre-calc. here are a few ...

Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...

calculus - Find lim (with x under it) (x^2-1)/x or state that the limit does...

CALCULUS - Evaluate each of the following. (a) lim x->0(e^x)-1-x/ x^2 (b) lim...

Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...

calculus - f(x)= 3x+2, x<0 3, x=0 x^2+1, x>0 g(x)= -x+3, x<1 0, x=1 x^2...