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Evaluate the following limits : lim(xr...

Evaluate the following limits :
`lim_(xrarr0)[(sqrt(1+2x)-sqrt(1-2x))/sinx]`

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PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. Evaluate the following limits : lim(x rarr 0) (1-cosx)/((e^(x^2)-1))

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  2. Evaluate the following limits : lim(xrarrpi/2)(pi/2-x)tanx

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  3. Evaluate the following limits : lim(xrarr0)[(sqrt(1+2x)-sqrt(1-2x))/...

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  4. Evaluate the following limits : lim(xrarr2) (x^(7/3)-2^(7/3))/(x-2)

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  5. lim(x to 0) (1-cosx)/x^2 = ?

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  6. Find the derivative of the following w.r.t.x: In sqrt((x^2+x+1))

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  7. Find the derivative of the following functions w.r.t.x: cos (In x)

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  8. Find the derivative of the following functions w.r.t.x: e^(2x)/(In x...

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  9. Find the derivative of the following functions w.r.t.x: (tanx)^(x)

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  10. Find the derivative of the following functions w.r.t.x: y=sin 2x + e...

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  11. Find the derivative of the following functions w.r.t.x: y=log (1+x^3...

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  12. Find the derivative of the following functions w.r.t.x: y=e^(4x)/x^2

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  13. Differentiate the following functions : tan ^-1(Ln (x^3+2x+5))

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  14. Differentiate the following functions : "cosec"^-1(e^(2cosx))

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  15. Differentiate the following functions : (cos^-1(1-3x))^2

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  16. Find dy/dx, when x=acos t + at, y = asin t -at, where t is the param...

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  17. Find dy/dx, when x log x + y log y + xy - 5x + 2y + 3 = 0

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  18. Find dy/dx, when y = x^x+(sin x )^(cosx)

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  19. If the radius of a circle changes at a uniform rate of 2 cm/s, find th...

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  20. A particle is moving in a vertical line whose equation of motion is gi...

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