Evaluate the following one sided limits: _ x 0^+ 1 3x . - Vidyadip

Question

Evaluate the following one sided limits: $\lim\limits_{\text{x}\rightarrow0^+}\frac{1}{3\text{x}}.$

✓

Answer

$\lim\limits_{\text{x}\rightarrow0^+}\frac{1}{3\text{x}}$ $=\lim\limits_{\text{h}\rightarrow0}\frac{1}{3(0+\text{h)}}$ $=\lim\limits_{\text{h}\rightarrow0}\frac{1}{(0+3\text{h})}$ $=\frac{1}{0}=\infty$

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