# Limits of Basic and Common Functions

The limits of two basic and common functions are are presented with examples and detailed solutions. Exercises are also included with their answers.

## Limits of Basic FunctionsWe present the limits of some basic functions.1. For f(x) = c, where c is a constant , 2. For f(x) = x , ## Examples with Detailed Solutions
## Example 1Find the following limits.1. \( \lim_{x\to\ 6} (-2) \) 2. \( \lim_{x\to\ -\infty} (0) \) 3. \( \lim_{x\to\ +\infty} (x) \) Solutions to Example 1:1. The function is constant and equal to -2, we apply 1.a above, hence \( \lim_{x\to\ 6} (-2) = -2 \) 2. The function is constant and equal to 0, we apply 1.c above, hence \( \lim_{x\to\ -\infty} (0) = 0 \) 2. The function is equal to x, we apply 2.b above, hence \( \lim_{x\to\ +\infty} (x) = +\infty \)
## ExercisesFind the following limits.1. \( \lim_{x\to\ -\infty} (6) \) 2. \( \lim_{x\to\ -5} (0) \) 3. \( \lim_{x\to\ -\infty} x \) 4. \( \lim_{x\to\ 1/2} (x) \)
## Answers to Above Exercises1. \( \lim_{x\to\ -\infty} (6) = 6 \)2. \( \lim_{x\to\ -5} (0) = 0 \) 3. \( \lim_{x\to\ -\infty} x = -\infty \) 4. \( \lim_{x\to\ 1/2} (x) = 1/2 \)
## More References and links on LimitsCalculus Tutorials and ProblemsLimits of Absolute Value Functions Questions |