Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) (-7 + h)² – 49 lim h-0

Q: (x + h)² – x² lim h 3 h

A: We will expand the first bracket  and  simplify the expression in numerator first

Q: 2x2 + 100x Find lim 1 - x3 x→-00 Select one: O +∞ O 2 O -2

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.