Evaluate the following limit. If the answer is positive infinite, type "I"; if negative infinite, type "N"; and if it does not exist, type "D". lim x->infinity tan^-1(x^2-x^4)?
1 Answer
Apr 17, 2018
Explanation:
We can move the limit inside as the arctangent is a continuous function. Evaluating, we obtain
This is an indeterminate form and does not tell us anything. We need to simplify.
We may evaluate this, yielding
Furthermore, we know the following basic limits for the arctangent: