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A N EXCEL PUBLICATION-LIMITS AND DERIVATIVES-QUESTION BANK
- Prove that (1 - cos 4theta)/(1 - cos 5theta) = [(sin (2theta))/(sin(5/...
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- Evaluate lim(theta rarr 0) (1-cos 4theta)/(1-cos 5theta)
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- Evaluate lim( x rarr a) (cos x - cos a)/(x -a)
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- Evaluate lim(x rarr a) (sqrtx - sqrta)/(x -a)
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- Evaluate lim(x rarr a) (cos x - cos a)/(sqrtx - sqrta)
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- If we assume u =tan^-1 2x, prove that lim(x rarr 0) x/(tan^-1 2x) = 1/...
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- Evaluate lim(x rarr 0) x/(tan^-1 2x)
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- Evaluate lim(x rarr pi/3)(sqrt3 - tan x)/(pi - 3x)
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- lim(x rarr 0) (tan x- sin x)/x^3
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- Evaluate lim(x rarr 0) (e^(bx) - 1)/x and lim(x rarr 0) (e^(ax) - 1)/x
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- Evaluate lim(x rarr 0) (e^(bx) - e^(ax))/x
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- What is the value of lim(x rarr pi/2) cos x ?
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- Evaluate lim(x rarr 0) (tan x)/x
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- Evaluate lim(x rarr 0) (3^x - 2^x)/(tan x)
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- Evaluate lim(x rarr 0) (log (1 + x/5))/x
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- Evaluate lim(x rarr 0) (log (1 - x/5))/x
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- Evaluate lim(x rarr 0) (log(5+x) - log(5-x))/x
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- Evaluate lim(x rarr 0) (sqrt(1 + x) - 1)/x
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- Evaluate lim(x rarr 0) (sqrt(1 + x) - 1)/(log( 1 + x ))
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- Consider the function f (x) =(x^2 - 9)/(x-3), x ne 3 complete the fo...
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