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NTA Abhyas JEE Main2020MathematicsLimitsPractice

The value of lim x → 2 ⁡ ∑ r = 1 7 x r - 2 r 2 r x - 2 is equal to

Correct answer

63.5

Step-by-step solution

We have, ∑ r = 1 7 lim x → 2 ⁡ x r - 2 r 2 r x - 2 = ∑ r = 1 7 r ⋅ 2 r − 1 2 r = 1 + 2 1 + 2 2 + . … .. + 2 6 2 = 127 2

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