Posted by **Jake** on Monday, September 6, 2010 at 3:15am.

Lim sin2h sin3h / h^2

h-->0

how would you do this ?? i got 6 as the answer, just want to make sure it's right.

and i couldn't get this one (use theorem 2)

lim tanx/x

x-->0

and also this one (use squeeze theorem to evaluate the limit)

lim (x-1)sin Pi/x-1

x-->1

- calculus -
**Reiny**, Monday, September 6, 2010 at 8:55am
the first one is correct.

Here is a simple way to check your limit answers if you have a calculator

pick a value very "close" to your approach value, in this case I would pick x = .001

evaluate using that value, (you are not yet dividing by zero, but close)

I got a value of 5.999985 which I would say is close to 6

for lim tanx / x as x -->0

= lim (sinx/cosx)/x

= lim (sinx/x)*lim 1/cosx as x ----> 0

= 1*1 = 1

If you meant lim (x-1)sinπ/(x-1)

wouldn't the last one simply be sinπ or 0 ?

## Answer This Question

## Related Questions

- calculus - using the squeeze theorem, find the limit as x->0 of x*e^[8sin(1/x...
- Math-Calculus - i have to questions that just need to be checked on to see if i ...
- Calculus..more help! - I have a question relating to limits that I solved lim(x...
- math-calculus - 30/x^2-25 = 3/x-5-2/x+5 i be left with 30 = 3x^2-75-2x^2+50 i ...
- Calculus - Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x&...
- Calculus - Find the limit. lim 5-x/(x^2-25) x-->5 Here is the work I have so ...
- calculus again - Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily ...
- Calculus Answer Confirming Not Sure Im Right Help? - Evaluate the lim a. lim x...
- Calculus - Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x&...
- Pre-calculus - I want to make sure this is right. the inverse of f(x)=(-3x+2)/(...

More Related Questions