Let and with

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

Let lim⁡x→af(x)=L\lim_{x\to a}f(x)=L and lim⁡x→ag(x)=M\lim_{x\to a}g(x)=M with M≠0M\neq 0. What is lim⁡x→af(x)g(x)\displaystyle\lim_{x\to a}\frac{f(x)}{g(x)} equal to? (a) LMLM (b) ML\dfrac{M}{L} (c) LM\dfrac{L}{M} (d) L+ML+M

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