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let f(x)={(ax+1, if x le 1),(3, if x=1)...

let `f(x)={(ax+1, if x le 1),(3, if x=1),(bx^2+1,if x > 1))` if `f(x)` is continuous at `x=1` then value of `a-b` is (A) `0` (B) `1` (C) `2` (D) `4`

A

0

B

1

C

2

D

4

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VIKAS GUPTA (BLACK BOOK)-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  2. Let f (x)= {{:(ac (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +q...

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  4. If y ^(2) =4ax, then (d^(2) y)/(dx ^(2))=(ka ^(2))/( y ^(3)), where k ...

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  5. The number of values of x , x I [-2,3] where f (x) =[x ^(2)] sin (pix)...

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  6. If f (x) is continous and fifferentiable in [-3,9] and f'(x) in [-2,8]...

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  7. In f (x)= [{:(cos x ^(3),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...

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  17. Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5)...

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  18. In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0)...

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  19. Let f :R to R be a differentiable function satisfying: f (xy) =(f(x)...

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