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JEE MATHEMATICS MCQ: FUNCTIONS

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Assertion: Let lim⁡x→af(x)=l\lim \limits_ {{x} \rightarrow {a}} {f}({x})=l and lim⁡x→ag(x)=m\lim \limits_ {{x} \rightarrow {a}} {g}({x})={m}. If ll and m{m} both exist, then lim⁡x→a(fg)(x)=lim⁡x→af(x).lim⁡x→ag(x)=lm.\lim \limits_{{x \rightarrow a}}(f g)(x)=\lim \limits_{{x \rightarrow a}} f(x). \lim \limits_{{x \rightarrow a}} g(x)=l m.

Reason: Let f{f} be a real valued function defined by f(x)=x2+1f(x)=x^2+1, then f′(2)=4f^{\prime}(2)=4.
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Correct option: B
Assertion is correct, reason is correct; reason is not a
correct explanation for assertion
Option B (Assertion is correct, reason is correct; reason is not a correct explanation for assertion) is correct because both the assertion and reason are true statements, but the reason does not explain the assertion.

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