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Find the value of k , for which f(x)=...

Find the value of `k ,` for which `f(x)={((sqrt(1+k x)-\ sqrt(1-k x))/(x) , if -1lt=x<0),( (2x+1)/(x-1), 0lt=x<1):}` is continuous at `x=0`

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RD SHARMA ENGLISH-CONTINUITY-All Questions
  1. Determine the value(s) of constant(s) involved in the definition so ...

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  2. Determine the value(s) of constant(s) involved in the definition so ...

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  3. Find the value of k , for which f(x)={((sqrt(1+k x)-\ sqrt(1-k x))/...

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  4. Determine the equation so that the given function is continuous: f(x)...

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  5. Find the value of k so that the function f defined by f(x)={(kcosx)/(...

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  6. The function f(x)={(x^2)/a\ \ \ \ ,\ \ \ if\ 0lt=x<1\ \ \ \ \ \ \ \a\ ...

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  7. f(x)={x+sqrt2asinx,0ltxltpi/4 and 2xcotx+b , pi/4lexltpi/2 and acosx-b...

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  8. The function f(x) is defined by f(x)={x^2+a x+b\ \ \ ,\ \ \ 0lt=x<2 ,...

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  9. If f(x)=(tan(pi/4-x))/(cot2x) for x!=pi/4, find the value which can be...

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  10. Discuss the continuity of the function f(x)={2x-1 ,ifx<2, (3x)/...

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  11. Find dy/dx if y= x-y-2x^2 .

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  12. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,...

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  13. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

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  14. Find the derivative if f(x)=sinx+cosx

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  15. Find the derivative of f(x)=sinx-cosx

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  16. Find f '(x) if f(x)=sinxcosx

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  17. Find f'(x) if f(x)=cos(x^2)

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  18. Find dy/dx if x+x^7=2y

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  19. Find all the points of discontinuity of f defined by f(x)" "= "|" "x...

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  20. Determine if f defined byf(x)={x^2sin(1/x) , ifx!=0, 0 ifx=0 is a con...

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