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If f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"f...

If `f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"for" -1 le x0),(2x^(2)+3x-2,"for" 0 le x le 1):}` is continuous at x = 0 then find k.

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The correct Answer is:
k=-2
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AAKASH SERIES-CONTINUITY -ADVANCED SUBJECTIVE TYPE QUESTIONS
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  2. Discuss the continuity of f(x)={{:(2x=-1,if x le1),(x^(2),if 1 lt x ...

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  3. If f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"for" -1 le x0),(2x^(2)+3x-2,"fo...

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  4. Define (i) f(x)=(1+5x)^(1//x) is continuous at x = 0.

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  5. Define (i) f(x)=(1+x)/(1-x)^(1//5x) is continuous at x = 0.

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  6. Define (i) f(x)=(1+2x)^(1//3x) is continuous at x = 0.

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  7. Find the values of a and b so that the function defined by f(x) = f(...

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  17. Show that the function f (x) = I x I + I x -1 1 + I x - 2 I is continu...

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  18. If f(x)={{:((1-sin^(3)x)/(3 cos^(2)x),if x lt (pi)/(2)),(a,if x=(pi)/(...

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  19. The number of points of discontinuity of f(x) = [2x—2011] where x in (...

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  20. Find the points where f(x)={{:(x^(2),x in Q),(2-x^(2),x in Q^(c )):} ...

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