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Test continuity for the folowing functio...

Test continuity for the folowing functions.
`f(x)={(2^(1/x), x ne0),(3,x=0):} at `x=0`

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. Examine the continuity of the function f(x)={(absx+3,,xle-3),(-2x,,-...

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  2. Test continuity for the folowing functions. f(x)={(xsin(1/x), x ne0)...

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  3. Test continuity for the folowing functions. f(x)={(2^(1/x), x ne0),(...

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  4. Test continuity for the folowing functions. f(x)={((x^2-4x+3)/(x^2-1...

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  5. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y^2=(sin^(-1)x)^2

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  6. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y1-xy=1

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  7. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y2-3xy1-y=0

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  8. At what point on the curve y=x^2 , x in [-2,2] at which the tangent is...

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  9. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  10. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  11. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  12. If ax^2+2hxy+by^2=1 Find dy/dx

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  13. If ax^2+2hxy+by^2=1 Find (d^2y)/(dx^2)

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  14. Consider the function y=x^xsqrtx Express the above function as logy=...

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  15. Consider the function y=x^xsqrtx Find dy/dx

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  16. Verify mean value theorem for the function f(x)=(x-2)^2 in [1,4] .

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  17. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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  18. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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  19. Differentiate x^(sinx) w.r.t. x

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  20. If x=at^2 , y=2at , then find dy/dx .

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