Thursday

July 31, 2014

July 31, 2014

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

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 8:55amthe 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 ?

**Related Questions**

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

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

Pre-calculus - I want to make sure this is right. the inverse of f(x)=(-3x+2)/(...

Math-Calculus - i have to questions that just need to be checked on to see if i ...

Calculus Verification - I just want to make sure im right. Find the derivative ...

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 - The limit as x approaches infinity of (e^x+x)^(1/x). I got that it ...

Calculus - Show that limit as n approaches infinity of (1+x/n)^n=e^x for any x&...

Calculus - Below are the 5 problems which I had trouble in. I can't seem to get ...

calculus again - Suppose lim x->0 {g(x)-g(0)} / x = 1. It follows necesarily ...