How do you find one sided limits without graph?

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How do you find one sided limits without graph?

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Answer 1 · 2014-09-17T09:00:16

It is not very different from two-sided limits. When something is approaching $0$ $0$ , then we need to pay special attention to which side it approaches $0$ $0$ from. Let us look at the examples below.

$lim_{x to 2^-}{3-5x}/{x-2}={3-5(2^-)}/{(2^{-})-2}={-7}/0^{-}=+infty$

$lim_{x to 2^+}{3-5x}/{x-2}={3-5(2^+)}/{(2^+)-2}={-7}/0^{+}=-infty$

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How do you find one sided limits without graph?

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