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Evaluate the following limits: limx→∞(1+1x)7x - Mathematics

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प्रश्न

Evaluate the following limits:

`lim_(x -> oo)(1 + 1/x)^(7x)`

बेरीज

उत्तर

We know `lim_(x -> oo)(x + 1/x)^x` = e

`lim_(x -> oo)(1 + 1/x)^(7x) = [lim_(x -> oo)(1 + 1/x)^x]^7`

= e7 

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Concept of Limits
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differential Calculus - Limits and Continuity - Exercise 9.4 [पृष्ठ ११७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 9 Differential Calculus - Limits and Continuity
Exercise 9.4 | Q 1 | पृष्ठ ११७

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