Question

lim as x approaches 0 of tan^2 (x)/x

Answer 1

When doing limit problems, sometimes it helps to look at the graph. As x approaches 0 from the right side and left side, the limit is 0.
If you are going to do it wihout a calculator, you need to memorize some limits rules from the trig functions.

Answer 2

what are you allowed to use?

Answer 3

the limit is zero for sure can you use l'hopital or do you need something else?

Answer 4

i need to find the limit using an analytical method

Answer 5

this is the same as asking what is the derivative of
\[\tan^2(x)\] for x = 0 so if you know that the derivative of
\[\tan^2(x)\] is
\[2\sec^2(x)\] you can take
\[2\sec^2(0)\] and get 0