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March 1, 2015

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 ?

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