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The value of lim(x to (pi)/(4)) ("sin" ...

The value of `lim_(x to (pi)/(4)) ("sin" x - cos x)/((x - (pi)/(4)))` equals

A

`sqrt(2)`

B

`(1)/(sqrt(2))`

C

2

D

`(1)/(2)`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-LIMITS AND DERIVATIVES -Section - B
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  2. If m,n in I^(+), then lim(x to 0) ("sin"x^(n))/(("sin"x)^(m)) equals

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  4. The value of lim(x to 0) ("sin" (pi cos^(2) x))/(x^(2)) equals

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  5. The value of lim(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

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  6. Evaluate the following limits : Lim(theta to pi/2 ) (sec theta - ta...

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

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

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  9. Evaluate the limit: ("lim")(hvec0)[1/(h(8+h)^(1/3))-1/(2h)]

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  10. underset(xtooo)lim[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to

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

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

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

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  14. The integer n for which ("lim")(xvec0)((cosx-1)(cosx-ehatx)/(x^n) is f...

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

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

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

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  18. The value of underset(x -> (pi)/(2))(lim) ({1 - tan (x/2)}{1-"sin"x})/...

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  19. The value of lim(x to 0) ((4^(x) - 1)^(3))/("sin"(x)/(4) log (1 + (x^...

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

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