JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

\begin{aligned}\text { Let } f(\theta)=\frac{1}{\tan ^2 \theta}\left\{(1+\tan \theta)^3+(2+\tan \theta)^3+\ldots\right..\left.+(10+\tan \theta)^3\right\}-10 \tan \theta\end{aligned}

Then,

\lim \limits_{\theta \rightarrow \frac{\pi^{-}}{2}} f(\theta)

is equal to

View answer and explanation

Correct option: C

165

Option C (165) is correct because the limit is evaluated by simplifying the expression and applying limit properties as θ approaches

\frac{π^{-}}{2}

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