JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

f(x)=3 x^{10}-7 x^8+5 x^6-21 x^3+3 x^2-7

, then

\lim \limits_{{h \rightarrow 0}} \frac{f(1-h)-f(1)}{h^3+3 h}

is equal to

View answer and explanation

Correct option: A

\frac{53}{3}

Option A (

\frac{53}{3}

) is correct because by applying the definition of the derivative and evaluating

f'(1)

, the limit simplifies to

\frac{53}{3}

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