Limits Methods

Direct substitution

A method of substituting the value of a variable in variable of the function is called the method of evaluating the limit by the direct substitution.

$\displaystyle \large \lim_{x \,\to\, 2}{\normalsize (x^3-5x+6)}$

You will learn how to use the direct substitution method for calculating the limits of the functions from the above examples.

Factorization

Rationalization

L’Hospital’s Rule

$\displaystyle \large \lim_{x \,\to\, 0}{\normalsize \dfrac{x-\sin{x}}{x^3}}$ $\,=\,$ $\dfrac{0}{0}$