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Limits Continuity and Differentiability question

2021 · 22 Jul · Shift 2 · Q44

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JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 22 Jul · Shift 2 · Q44

Limits Continuity and Differentiability question

2021 · 22 Jul · Shift 2 · Q44

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let f : R

\to

R be a function defined as

f(x) = \left\{ {\begin{matrix} {3\left( {1 - {{|x|} \over 2}} \right)} & {if} & {|x|\, \le 2} \\ 0 & {if} & {|x|\, \gt 2} \\ \end{matrix} } \right.

Let g : R

\to

R be given by

g(x) = f(x + 2) - f(x - 2)

. If n and m denote the number of points in R where g is not continuous and not differentiable, respectively, then n + m is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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