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For what values of constant K, the follo...

For what values of constant K, the following functions are continuous the indicated points.
`f(x)={{:(,(e^(x)-1), x ne 0),(,K, x=0):}" at x =0"`

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The correct Answer is:
`K=0`
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CBSE COMPLEMENTARY MATERIAL-CONTINUITY AND DIFFERENTIABILTY-4 Marks Questions
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  2. Given that f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),(...

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  3. For what values of constant K, the following functions are continuous ...

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  4. For what values of constant K, the following functions are continuous ...

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  6. Determine the values of a ,\ b ,\ c for which the function f(x)={(s...

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  7. f(x)={{:(,[x]+[-x], x ne 0),(,lambda,x=0):} Find the value of lambda...

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

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  9. If f(x)={x^2+3x+a ,xlt=1b x+2,forx >1 is everywhere differentiable, f...

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  11. Differentiate tan^(-1)((sqrt(1-x^(2)))/(x)) w.r.t. cos^(-1)(2xsqrt(1-x...

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  12. If y=x^(x^(x)), "then find "(dy)/(dx).

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  13. Differentiate (x cos x)^(x)+(x sin x)^(1/x) w.r.t.x.

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  14. If x^m y^n=(x+y)^(m+n) , prove that (dy)/(dx)=y/x .

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  15. If (x-y)dot(x-y)/x=a , Prove that y(dy)/(dx)+x=2ydot

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  16. If x=tan(1/alogy) , show that (1+x^2)(d^2y)/(dx^2)+(2x-a)(dy)/(dx)=0 .

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  17. If y=xlog"{"x/((a+b x))"]" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...

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  18. Differentiate sin^(-1){(2^(x+1). 3^x)/(1+(36)^x)}"w i t hr e s p e...

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  19. If sqrt(1-x^6)+sqrt(1-x^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2)...

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  20. If f(x)=sqrt(x^2+1),\ \ g(x)=(x+1)/(x^2+1) and h(x)=2x-3 , then find f...

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