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The function f(x) = {{:(("sin x")/(x)+ c...

The function `f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0):}` is continuous at `x = 0`, then then value of `'k'` is

A

3

B

2

C

1

D

1.5

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
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  2. Verify LMV Theorem for the following: f(x) = sqrt(25-x^2)in[1,5]

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  3. The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...

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  4. The function f(x) = [x], where [x] denotes the greatest integer functi...

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  11. The derivative of log(ax+b) is

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  12. If f(x) = {:{(kx+1,xle5),(3x-5,x>5):} s is a continuous function then ...

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  13. The derivative of sin^3 (x^5) w.r.t. x is

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  14. If y = log(cose^x), then dy/dx = ……….

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  15. If y =e^(sin(logx), then the value of dy/dx is

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  16. If x^3 + y^3 =10, then the vale of dy/dx is

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  17. If f(x) = {:{(kx^2,x <2),(3,xge2):} is continous at x =0, the value of...

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  18. If x = 2at, y = at^2, then dx/dy is equal to :

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  19. If the function f is defined by f(x) = {(3,,x,ne,0),(a+1,,x,=,0):} and...

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  20. The derivative of cos^-1(e^x) is

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