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Limits Continuity and Differentiability question

2013 · Shift 2 · Q38

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2013 · Shift 2 · Q38

Limits Continuity and Differentiability question

2013 · Shift 2 · Q38

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityMultiple correct+4 / −2

a \in R

(the set of all real numbers), a

e-

1,

\mathop {\lim }\limits_{n \to \infty } {{({1^a} + {2^a} + ... + {n^a})} \over {{{(n + 1)}^{a - 1}}[(na + 1) + (na + 2) + ... + (na + n)]}} = {1 \over {60}}

, Then a = ?

A
5
B
7
C
${{ - 15} \over 2}$
D
${{ - 17} \over 2}$

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