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If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , ...

If `f(x)=(sqrt((1+px))-sqrt((1-px)))/x` , `-1lex<0`
`=(2x+1)/(x-2)` , `0lexle1`
is continuous in the interval `[-1,1]` .
Find `lim_(xrarr0)f(x)`

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y2-3xy1-y=0

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If y=sin^(-1)(cosx)+cos^(-1)(sinx) , then find dy/dx .

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  16. Differentiate (x-1)/(x-3) with respect to x .

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  17. Differentiate sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5) with respect to x.

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  18. Define absx

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  19. At which point d/dxabsx does not exist? Find d/dxabsx .

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  20. Find d/dxabs(x^3-7x) . Also , find the point at which the derivative d...

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