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Limits Continuity and Differentiability question

2023 · 6 Apr · Shift 1 · Q39

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 6 Apr · Shift 1 · Q39

Limits Continuity and Differentiability question

2023 · 6 Apr · Shift 1 · Q39

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

a \in \mathbb{Z}

and

[\mathrm{t}]

be the greatest integer

\leq \mathrm{t}

. Then the number of points, where the function

f(x)=[a+13 \sin x], x \in(0, \pi)

is not differentiable, is

\underline{\hspace{2cm}}

.

Numerical answer

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