Basic Maths Grand Test- Q11

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What is value of the positive integer n so that ,  \lim_{x \rightarrow 3 }\left ( \frac{x^{n} - 3^{n}}{x-3} \right ) = 108  ?

asked Nov 17 in Basic Maths by gbmentor (85,520 points)
reshown Nov 20 by getgatebook

1 Answer

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ANS 4.

For the given limit , we have direct result that is=  n * x^(n-1)

So , n * x^(n-1) = 108

Put x=3.  so ,  n * 3^n= 324

Therefore n=4

answered Nov 20 by bhargavakapilpro20 (13,760 points)
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