$\mathop {\lim }\limits_{x \to 1} \left( {1 + \cos \pi {\rm{ }}x} \right){\cot ^2}\pi $ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 1} \left( {1 + \cos \pi \mathrm{ }x} \right){\cot ^2}\pi

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{1}{2}

) is correct because after applying trigonometric identities and limit properties, the expression simplifies to 1/2.

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