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If the function f as defined below is co...

If the function f as defined below is continuous at x=0find the values of a,b and c `f(x) = {(sin (a+1)x +sin x)/x, x<0 and c, x=0, and (sqrt(x+bx^2)-sqrt(x))/(bx^(3/2)), x>0`

A

`a=-(3)/(2),b=0,c=(1)/(2)`

B

`a=-(3)/(2),b=1,c=-(1)/(2)`

C

`a=-(3)/(2),b in R-[0],c=(1)/(2)`

D

None of these

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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
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  6. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

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  9. The following functions are continuous on (0, pi) (a) tan x (b)under...

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  11. Let f(x) = [x] and g(x) = {{:(0",",x in Z),(x^(2)",",x in R - Z):}, th...

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  15. if f(x) ={{:( (x log cos x)/( log( 1+x^(2) )), x ne 0) ,( 0, x=0):}

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  16. The function f(x)=|x|+|x-1| is

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  17. For the function f(x)={{:(,|x-3|,x ge 1),(,(x^(2))/(4)-(3x)/(2)+(13)/(...

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  18. Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is contin...

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  19. If 4x+3|y|=5y, then y as a function of x is

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  20. If f(x)=x^3sgn(x), then

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