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Limits Continuity and Differentiability question

2018 · Shift 0 · Q44

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PYQ Library
JEE Main
Mathematics
Limits Continuity and Differentiability
2018 · Shift 0 · Q44

Limits Continuity and Differentiability question

2018 · Shift 0 · Q44

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

For each t

\in R

, let [t] be the greatest integer less than or equal to t. Then

\mathop {\lim }\limits_{x \to {0^ + }} x\left( {\left[ {{1 \over x}} \right] + \left[ {{2 \over x}} \right] + ..... + \left[ {{{15} \over x}} \right]} \right)

A
does not exist in R
B
is equal to 0
C
is equal to 15
D
is equal to 120

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