Limited

Calculus Level 1

Find lim x 3 \displaystyle\lim_{x\rightarrow 3} x 2 9 x 3 \dfrac{x^2-9}{x-3}


The answer is 6.

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1 solution

Denton Young
May 25, 2016

The function is equivalent to (x+3), except for a hole at x = 3. But since both the right and left limits converge on 6, the limit is well defined.

Moderator note:

Simple standard approach.

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