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If f(x) defined by f(x)={(|x^2-x|)/(x^2...

If `f(x)` defined by `f(x)={(|x^2-x|)/(x^2-x1,x=0),x!=0,1-1,x=1 then (A)f(x) is continuous for all x (B) for all x except at x=0 (C) for all x except at x=1 (D)for all x except at x=0 and x=1

A

x

B

x except at x=0

C

x except at x=1

D

x except at x=0 and x=1

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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
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  2. If f(x) is continuous at x=0 and f(0)=2, then underset(x to 0)lim unde...

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  3. If f(x) defined by f(x)={(|x^2-x|)/(x^2-x1,x=0),x!=0,1-1,x=1 then (...

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  4. If f(x)={(1-sinx)/((pi-2x)^2)dot(logsinx)/((log(1+pi^2-4pix+4x^2))),x...

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  5. The set of points of differentiable of the function f(x)={{:(,(sqrt(x+...

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  6. The set of points where the function f(x)=|x-1|e^(x) is differentiable...

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  7. If f(x)=(x+1)^(cotx) be continuous at x=0, the f(0) is equal to

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  8. If f(x)={{:(,(sqrt(x+1)-1)/(sqrtx),"for "x ne 0),(,0,"for x=0):} and f...

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  9. The function f(x)={(e^(1/x)-1)/(e^(1/x)+1),x!=0 0,x=0 is continuous a...

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  10. Let f(x) ={{:((x-4)/(|x-4|)+a,xlt4),(a+b,x=4),( (x-4)/(|x-4|)+b, x gt4...

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  11. If the function f(x)={(cosx)^(1/x),x!=0k ,x=0 is continuous at x=0 , t...

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  12. If the function f(x)=|x|+|x-1|, then

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  13. Let f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|)\ \ \ \ ,\ \ \ x!=1,\ 1 6\ \ \ \ ...

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  14. If the function f as defined below is continuous at x=0find the values...

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  15. If f(x)=[{:(mx+1,if x le (pi)/(2)),(sinx+n,ifxgt(pi)/(2)):} is contin...

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  16. The value of f(0), so that f(x)=(sqrt(a^(2)-ax+x^(2))-sqrt(a^(2)+ax+x^...

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  17. (a) Draw the graph of f(x) = ={{:(1",",, |x| ge 1), ((1)/(n^(2)) ",",,...

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  18. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

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  19. The value of f(0) so that the function f(x)=(2-(256-7x)^(1/8))/((5x+32...

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

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