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lim(xtooo) [((e)/(1-e))((1)/(e)-(x)/(1+...

`lim_(xtooo) [((e)/(1-e))((1)/(e)-(x)/(1+x))]^(x)` is :

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. T1 is an isosceles triangle in circle C. Let T2 be another ísoscele...

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  2. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f((pi)/...

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  3. lim(xtooo) [((e)/(1-e))((1)/(e)-(x)/(1+x))]^(x) is :

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  4. ("lim")(x -> 0)((1+tanx)/(1+sinx))^(cos e cx) is equal to (a)e ...

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  5. lim(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 ...

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  6. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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  7. "Find"(dy)/(dx)"if "y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

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  8. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

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  9. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

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  10. Find (dy)/(dx) for the functions: y=(x+sinx)/(x+cosx)

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  11. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

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  12. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

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  13. Let f(x)=xsinpix ,\ x >0 . Then for all natural numbers n ,\ f^(pr...

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  14. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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  15. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)), then find= (dy)/(dx)

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  16. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...

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  17. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

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  18. let f(x)=2+cosx for all real x. Statement 1: For each real t, there e...

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  19. Differentiate the function with respect to x using the first principle...

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  20. Differentiate the function with respect to x using the first principle...

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