Question

Calculus - What is the best approach for evaluating a limit of a given function?

Answer 1

I am trying to prepare for my first Calculus Exam

Answer 2

Ok not really. My Tadpoles are preparing for their first exam. Showing them the beauty of this site

Answer 3

Unfortunately, this question is extremely broad. There are various ways of evaluating limits. You have to study and learn different types of limits, as well as the rules that apply to each, and then correctly apply those rules.

Please post some specific limit problems. We'll identify their type, identify which rules of limits apply, and then evaluate those limits.

Answer 4

How about a given function\[ \lim_{x \rightarrow 2}x^2-4\]

Answer 5

For example, there are approaches for finding limits that apply to sums, differences, roots, polynomials, and so on.

Your x^2-4 is a polynomial.
Limits of polynomials exist for all x values.
Therefore, replace x with 2 and evaluate x^2-4.
Your answer?

Answer 6

Gotta go but thanks for all of your help.....you are awesome

Answer 7

Thank you.

Answer 8

0

Answer 9

I suggest below order :

1) Substitute and see
2) Try using known limits, L'Hospital's Rule, Definition of derivative etc.
3) Taylor series and other tricks.