Evaluate the limits without using a calculator. Justify all steps in the solutions.

lim x-->0 x^7cos(3/x)

2 answers

the max cosine can ever be is -1 or 1, it is always between that, so cos (inf) is from -1 to 1. That is a finite number, multiplying it by 0^7 is zero, at least here in TExas
14-2.6+2