Calculus/Limits/Exercises

One-Sided Limits
Evaluate the following limits or state that the limit does not exist.

Two-Sided Limits
Evaluate the following limits or state that the limit does not exist.

Limits to Infinity
Evaluate the following limits or state that the limit does not exist.

Limits of Piecewise Functions
Evaluate the following limits or state that the limit does not exist.

48. Consider the function
 * $$f(x)=\begin{cases}(x-2)^2&\text{if }x<2\\x-3&\text{if }x\ge2\end{cases}$$

49. Consider the function
 * $$g(x)=\begin{cases}-2x+1&\text{if }x\le0\\x+1&\text{if }02\end{cases}$$