If α and β are the roots of the equation 375x^2 - 25x - 2 = 0, then lim_n → ∞ sum_r=1^n α^r + lim_n → ∞ sum_r=1^n β^r is equal to

If α and β are the roots of the equation 375x^2 - 25x - 2 =… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 12 April · Shift I

\alpha

and

\beta

are the roots of the equation

375x^2 - 25x - 2 = 0

, then

\lim_{n \to \infty} \sum_{r=1}^{n} \alpha^r + \lim_{n \to \infty} \sum_{r=1}^{n} \beta^r

is equal to

Show answer

Correct option: C

[JEE Main 2019 · 12 April · Shift I]

Practise Limits Continuity and Differentiability the way it is asked

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