Evaluate: underset(x rarr0)lim((sinx)/x)...

Evaluate: `underset(x rarr0)lim((sinx)/x)^(1/x)`

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QUESTION PAPER 2013
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SHARAM PUBLICATION-QUESTION PAPER 2014-EXERCISE

Examine the differentiability of ln x^(2) for all real values of x.
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Interpret Lagrange's mean value theorem geometrically.
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Evaluate: underset(x rarr0)lim((sinx)/x)^(1/x)
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Evaluate the following integrals : int(dx)/(x^(1/2)+x^(1/3))
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int(xe^x)/(1+x^2)dx
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Evaluate: overset(3/2)underset(0)int[x^2]dx.
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Find the area of the region bounded by the curve y=sin x and the strai...
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Solve the following differential equations (1+y^2)dx+(x-e^(-tan^(-1)...
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Solve : (x+y)dy +(x-y)dx = 0.
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Find the differential equation whose general solution is ax^(2)+by=1, ...
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If the sum of two unit vectors is a unit vectors find the magnitude of...
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Find the value of lambda such that the following vectors are coplanar:...
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Find the co-ordinates of the foot of the perpendicular from the point ...
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Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...
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Using the method of elemination find the symmetrical form of equation ...
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Solve the following LPP graphically Maximize, Z=20x+30y Subject to...
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If A and B are square matrices of same order, then show by means of an...
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If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...
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Five cities A,B,C,D,E are connected to each other by straight roads. W...
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Two balls are drawn from a bag containing 6 red and 4 yellow balls. Fi...
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