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Limits — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsLimits2 Marks
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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