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Prove that the function f(x)={(sinx)/x...

Prove that the function `f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,\ \ \ xgeq0` is everywhere continuous.

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RD SHARMA ENGLISH-CONTINUITY-All Questions
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  3. Prove that the function f(x)={(sinx)/x\ \ \ ,\ \ \ x<0,\ \x+1\ \ \ ,...

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

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

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

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

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

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  12. Given the function f(x)=1/(x+2) . Find the points of discontinuity of ...

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  13. Find all point of discontinuity of the function f(t)=1/(t^2+t-2), wher...

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  14. Define continuity of a function at a point.

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  15. What happens to a function f(x) at x=a , if (lim)(x->a)f(x)=f(a)

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  16. Find f(0) , so that f(x)=x/(1-sqrt(1-x)) becomes continuous at x=0 .

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  17. The function f(x)={((sin3x)/x ,x!=0),(k/2,x=0):} is continuous of x...

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  18. If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(...

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