JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

Let

S \subset(0, \pi)

denote the set of values of

x

satisfying the equation

{8^{1 + |\cos x| + {{\cos }^2}x + \left| {{{\cos }^3}x} \right| + \ldots \mathrm{ to }\infty }} = {4^3}

Then

S=

View answer and explanation

Correct option: D

\{\pi / 3,2 \pi / 3\}

Option D (

\{\pi / 3,2 \pi / 3\}

) is correct because these are the only values of x in the given interval that satisfy the equation after simplifying the infinite series.

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