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Limits Continuity and Differentiability question

2019 · 12 Apr · Shift 1 · Q24

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JEE Main
Mathematics
Limits Continuity and Differentiability
2019 · 12 Apr · Shift 1 · Q24

Limits Continuity and Differentiability question

2019 · 12 Apr · Shift 1 · Q24

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

\alpha

and

\beta

are the roots of the equation 375x2 – 25x – 2 = 0, then

\mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {{\alpha ^r}} + \mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {{\beta ^r}}

is equal to :

A
${7 \over {116}}$
B
${{29} \over {348}}$
C
${1 \over {12}}$
D
${{21} \over {346}}$

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