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f(x)={(2xtanx-pi/(cosx) ,, x!=pi/2),(k ,...

`f(x)={(2xtanx-pi/(cosx) ,, x!=pi/2),(k ,, x=pi/2):} i s \ c o n t i n u o u s \ a t \ x=pi/2,` then find the value of `k`.

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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. 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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  2. If f(x)=(tan(pi/4+(log)e x))^((log)x e) is to be made continuous at x=...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. 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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  16. If p,q,r are any real number, then

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  17. Discuss the continuity of f(x)=("lim")(n->oo)cos^(2n)xdot

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  18. Find the values of a if f(x)=("lim")(n rarr oo)(a x^(2n)+2)/(x^(2n)+a...

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  19. If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find t...

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  20. Discuss the continuity of f(x)=(lim)(n->oo)(x^(2n)-1)/(x^(2n)+1)

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