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If 0 lt alpha lt beta then lim(n to oo) ...

If `0 lt alpha lt beta` then `lim_(n to oo) (beta^(n) + alpha^(n))^((1)/(n))` is equal to

A

`alpha`

B

`beta`

C

`alpha beta`

D

e

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The correct Answer is:
B
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AAKASH INSTITUTE-LIMITS AND DERIVATIVES -Section - B
  1. The value of lim(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

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  2. The value of lim(theta to (pi)/(2)) (sec theta - tan theta) equals

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  3. The value of lim(x to oo) (sqrt(x^(2) + x + 1) - sqrt(x^(2) - x + 1)) ...

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  4. The value of lim(x to 0) ((1)/(x^(2)) - cot x) equals

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  5. The value of lim(h to 0) {(1)/(h(8 + h)^(1//3)) - (1)/(2h)} equals

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  6. The value of lim(x to oo) {sqrt(x+ sqrt(x + sqrt(x))) - sqrt(x)} equa...

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  7. lim(x to 2) (([x]^(3))/(3) - [(x)/(3)]^(-3)) is where [x] represents t...

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  8. underset(x to 2)(Lt) {[x - 2] + [2 - x] - x} = where [.] represents gr...

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  9. If {x} denotes the fractional part of x, then lim(x to 0) ({x})/(tan ...

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  10. The least integer n for which lim(x to 0) ((cos x - 1) (cos x - e^(x))...

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  11. Let alpha and beta be the distinct roots of ax^(2) + bx + c = 0 then u...

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  12. underset(x to 0)(Lt) (sqrt(1 - cos 2 x))/(sqrt(2)x) =

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  13. The value of lim(x to 0) ("sin" alpha X - "sin" beta x)/(e^(alphax) -...

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  14. The value of lim(x + (pi)/(2)) ({1 - tan (x)/(2)}{1-"sin"x})/({1 + ta...

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  15. The value of lim(x to oo) ((4^(x) - 1)^(3))/("sin"(x)/(4) log (1 + (x...

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  16. If 0 lt alpha lt beta then lim(n to oo) (beta^(n) + alpha^(n))^((1)/(n...

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  17. lim(x to 0) ("sin" (nx)((a - n)nx - tanx))/(x^(2)) = 0 when n is a no...

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  18. lim(x + 5^(+)) (x^(2) - gx + 20)/(x - [x]) is equal to

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  19. lim(x to 0) ("sin"2X)/(2 - sqrt(4 - x)) is

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  20. lim(x to 0) (1 - cos x)/(x sqrt(x^(2))

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