Limits and Derivatives
Evaluate the Given limit: x→−1limx−1x10+x5+1
Suppose that f is a function such that 2x2≤f(x)≤x(x2+1) for all x that are near to 1 but not equal to 1. Show that this fact contains enough information for us to find (lim)x1f(x)˙ Also, find this limit.
The population of a country increases by 2% every year. If it increases k
times in a century, then prove that