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find n in N , if lim(x->2)(x^n-2^n)/(x-2...

find `n in ``N , if lim_(x->2)(x^n-2^n)/(x-2)=80`.

A

2

B

3

C

4

D

5

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The correct Answer is:
D
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CBSE COMPLEMENTARY MATERIAL-LIMITS AND DERIVATIVES -LONG ANSWER TYPE QUESTIONS
  1. find n in N , if lim(x->2)(x^n-2^n)/(x-2)=80.

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  2. Differentiate Sin^(2)x with respect to x using first principle method.

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  3. Differentiate Sin(x^(2)) with respect to x using first principle metho...

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  4. Differentiate each of the following from first principle: cossqrt(x)

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  5. Differentiate the following functions with respect to x from first p...

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  6. Differentiate the following with respect to x using first principle me...

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  7. Differentiate the following with respect to x using first principle me...

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  8. Differentiate the following with respect to x using first principle me...

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  9. Differentiate the following with respect to x using first principle me...

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  10. Differentiate the following with respect to x using first principle me...

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  11. Differentiate the following with respect to x using first principle me...

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  12. Evaluate the following Limits lim(xto oo)(2x^(8)-3x^(2)+1)/(x^(8)+6x...

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  13. Evaluate the following Limits lim(xto 1)(2x^(8)-3x^(2)+1)/(x^(8)+6x^...

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  14. Evaluate the following Limits lim(xto 0)(1-cos2x)/(x*tan3x)

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  15. Evaluate, underset(xto(pi//4))"lim"(sinx-cosx)/(x-pi/4)

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  16. Evaluate the following Limits lim(xto(pi)/(6))(sqrt(3)sinx-cosx)/((p...

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  17. Evaluate the following Limits lim(xto0)(sinx)/(tanx)

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  18. Evaluate the following Limits lim(xto 9)(x^((3)/(2))-27)/(x^(2)-81)

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  19. Evaluate the following limit: (lim)(x->a)((x+2)^(5//2)-(a+2)^(5//2))/(...

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  20. Evaluate the following Limits lim(xto0)(cosax-cosbx)/(1-cosx)

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  21. Evaluate the following limits: lim(xtoa)(cosx-cosa)/(cotx-cota)

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