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Limits Continuity and Differentiability question

2021 · 20 Jul · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2021 · 20 Jul · Shift 1 · Q34

Limits Continuity and Differentiability question

2021 · 20 Jul · Shift 1 · Q34

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

Let a function f : R

\to

R be defined as

f(x) = \left\{ {\begin{matrix} {\sin x - {e^x}} & {if} & {x \le 0} \\ {a + [ - x]} & {if} & {0 \lt x \lt 1} \\ {2x - b} & {if} & {x \ge 1} \\ \end{matrix} } \right.

where [ x ] is the greatest integer less than or equal to x. If f is continuous on R, then (a + b) is equal to:

A
4
B
3
C
2
D
5

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