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Lt(xto1)(sinpix)/(x-1) is equal to...

`Lt_(xto1)(sinpix)/(x-1)` is equal to

A

`pi`

B

`-pi`

C

`(1)/(pi)`

D

`-(1)/(pi)`

Text Solution

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The correct Answer is:
B
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ICSE-LIMITS AND DERIVATIVES -Multiple Choice Questions
  1. If Lim(x to 0) k . cosec x=Lim(x to 0)x cosec kx, then k is (i) -1,1...

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  2. Lt(x to pi)(sinx)/(x-pi) is equal to

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  3. Lt(xto1)(sinpix)/(x-1) is equal to

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  4. Lt(x to (pi)/(2))(2x-pi)/(cos x) is equal to

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  5. Lt(x to (pi)/(2))(pi/2-x)tan x is equal to (i) 1 (ii) -1 (iii) (pi)...

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  6. (lim)(x->pi/2)(tan2x)/(x-pi/2)

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  7. Lt(x to 0)(e^(x)+sinx-1)/(3x) is equal to (i) 1/3 (ii) -1/3 (iii) 2/3...

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  8. lim(x to 2)(log(x-1))/(x-2) is equal to

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  9. lim(x to 0)(3^(2x)-2^(3x))/(x) is equal to

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  10. Lt(x to 0)(|x|)/(x) is equal to (i) 1 (ii) -1 (iii) 0 (iv) does not e...

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  11. Lt(x to (3)/(2))[x] is equal to (i) 1 (ii) -1 (iii) 2 (iv) does not e...

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  12. Lt(x to 0)(cos^(2)x-sin^(2)x-1)/(sqrt(x^(2)+4)-2) is equal to (i) 4...

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  13. Lt(xto0)(x^(2)cosx)/(1-cosx) is equal to

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  14. Lt(xto0)(sinx)/(sqrt(x+1)-sqrt(1-x)) is equal to

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  15. Lt(xto0)(|sinx|)/(x) is equal to (i) 1 (ii) -1 (iii) does not exist ...

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  16. The derivative of 2x^(3)-3x^(2)-5x+6 at x=1 is

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  17. If f(x)=1-x+x^(2)-x^(3)+ . . .-x^(99)+x^(100) then f'(1) is equal to

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  18. If f(x)=((3x+1)(2sqrt(x)-1))/(sqrt(x)), then f'(1) is equal to

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  19. If f(x)=(2-3cosx)/(sinx), then f'((pi)/(4)) is equal to

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  20. If y=sqrt(x)+(1)/(sqrt(x)), then (dy)/(dx) at x=1 is

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