how to evaluate these limits

Hello, I am unsure of what procedure or method I should use to find these two limits.

Can someone please tell me the best way to go about solving them.

Thanks kindly for any help.

limit x tending to zero

cos(x^{2}+pi)

limit x tending to zero

4/ln(x^{4})

Re: how to evaluate these limits

Quote:

Originally Posted by

**fran1942** Hello, I am unsure of what procedure or method I should use to find these two limits.

Can someone please tell me the best way to go about solving them.

Thanks kindly for any help.

limit x tending to zero

cos(x^{2}+pi)

limit x tending to zero

4/ln(x^{4})

The first function is continuous at x = 0, so substitute x = 0.

For the second, you should know that log(x) approaches -infinity when you make x approach 0 from the right. Since log(x^4) is an even function, it will approach the same value as you make x go to 0 from both sides. So what do you think log(x^4) will approach? What happens when you divide 4 by this?