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Find the value of f(0) so that the funct...

Find the value of `f(0)` so that the function. `f(x)=(sqrt(1+x)-1+x^3)/x` becomes continuous at x=0

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Discuss the continuity of f(x)={1/(e^(x-1)),x!=1; 0,x=1

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  2. Which of the following functions is not continuous AAx in R ?

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  3. Find the value of f(0) so that the function. f(x)=(sqrt(1+x)-1+x^3)/x ...

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  4. If the function f(x)={((x^2-(A+2)x+A)/(x-2), "for" x ne 2),(2, "for"...

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  5. If the function f: R- {0}-> R given by f(x)=1/x-2/(e^(2x)-1) is conti...

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  6. L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], Iff(x)i s continuou...

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  7. If f(x)=(tan(pi/4+(log)e x))^((log)x e) is to be made continuous at x=...

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  8. f(x)={(2xtanx-pi/(cosx) ,, x!=pi/2),(k ,, x=pi/2):} i s \ c o n t i n ...

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  9. Discuss the continuity of f(x) ={{:(((x^(2))/|x|,xne0),(0,x=0):}

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  10. Let f(x)={(1+3x)^(1/x), x != 0e^3,x=0 Discuss the continuity of f(x) a...

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  11. Discuss the differentiability of f(x)=||x^2-4|-12|dot

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  12. f(x)=(lim)(n->oo)(sin(pix/2))^(2n) for x >0,x!=1,and f(1)=0. Discuss ...

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  13. Discuss the continuity of f(x)={cot^(-1)x}({dot} represents the fract...

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  14. Find the values for x in [1,3] where the function [x^(2)+1] ([,...

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  15. If f(x)=x-2, x le 0 and 4-x^2,x > 0, then discuss the continuity of y...

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  16. Discuss the continuity of f(x)=[tan^(-1)x]

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  17. Find the number of points of discontinuity for f(x)=[6sinx], 0<=x<=pi

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  18. Find the value of x where f(x)={x ,if x is rational 1-x ,if x is ir...

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  19. Discuss the continuity of the following function : f(x)={1,if x is rat...

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  20. If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity ...

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