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lim{x\rightarrow 0}(1-cosmx)/(1-cos nx) ...

`lim_{x\rightarrow 0}(1-cosmx)/(1-cos nx)` is equal to

A

(a) `(n^(2))/(m^(2))`

B

(b) `(m^(2))/(n^(2))`

C

(c) `(m)/(n)`

D

(d) `(n)/(m)`

Text Solution

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The correct Answer is:
B
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ICSE-LIMITS AND DERIVATIVES -Multiple Choice Questions
  1. lim{x\rightarrow 0}(1-cos2x)/(sin^(2)2x) is equal to

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  2. Lt(x to0)(tan3x-2x)/(3x-sin^(2)x) is equal to

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  3. lim{x\rightarrow 0}(1-cosmx)/(1-cos nx) is equal to

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  4. lim{x\rightarrow 0}(cosx-cos3x)/(x(sin 3x-sinx)) is equal to

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  5. Lt(xto0)((1-cos2x)sin5x)/(x^(2)sin3x) is equal to (i) (6)/(5) (ii...

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

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

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

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

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

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

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

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

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

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

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

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

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