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JEE Main202125 Feb 2021Morning ShiftMathematicsLimitsActual

lim n → ∞ 1 + 1 + 1 2 + … … + 1 n n 2 n is equal to

Options

A1 e
B0
C1 2
D1

Correct answer

D. 1

Step-by-step solution

It is 1 ∞ form L = e l i m n → ∞ 1 + 1 2 + 1 3 + … . . + 1 n n   L = e l i m n → ∞ 1 n + 1 2 n + 1 3 n + … . . + 1 n 2 ∴   L = e 0 + 0 + 0 + … . . + 0 ⇒ L = e 0 = 1

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