Math Doubts

Methods of Evaluating the Limits

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.

$(1).\,\,\,$ $\displaystyle \large \lim_{x \,\to\, 0}{\normalsize (x+6)}$

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

$(3).\,\,\,$ $\displaystyle \large \lim_{x \,\to\, \Large \frac{\pi}{2}}{\normalsize \dfrac{x}{4+\sin{x}}}$

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

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