Evaluate: \lim{x\rightarrow0}\ ((sqrt(1+...

Evaluate: `\lim_{x\rightarrow0}\ ((sqrt(1+x)\ -\ sqrt(1-x))/(sin^(-1)x))`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions

Using matrices, solve the following system of equations: 2x-y+z= -3, ...
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Find the derivative of cos(2x+1) w.r.t. x from first principle.
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Evaluate: \lim{x\rightarrow0}\ ((sqrt(1+x)\ -\ sqrt(1-x))/(sin^(-1)x))
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Solve the following differential equation : ("x"^2-1)"dy"/("dx")+2"xy...
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Using integration calculate the area of the region bounded by the t...
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Evaluate int0^2(2x^2+\ x+5)dx as limit of a sum.
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Solve the following differential equation: ("y"^2- "x"^2)"dy"=3"x y ...
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Verify that "y"="Acos x"-"Bsinx" is solution of the differential eq...
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A window is in the form of a rectangle surmounted by a semi-circle. ...
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An open box, with a square base, is to be made out of a given quanti...
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Find the intervals in which the function "f"("x")="x"^"3"- "12"x^2+ ...
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Evaluate: int sqrt(tan theta) d theta
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Using matrices, solve the following system of equations: 3"x"-"y"+"...
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Differentiate sqrt ("tan x")" w.r.t x from first principle.
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Evaluate: \lim{x\rightarrow \infty }sqrt(x^2+x+1)-x
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Prove that int"o"^"a""f"("x")"dx"=""int"o"^"a""f "("a"-"x")"dx"dot
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Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"
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Evaluate: int1/(1+x+x^2+x^3)\ dx
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Find the coordinates of the point where the line ("x"+1"")/2=("y"+2...
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Using properties of determinants, prove the following: \begin{vmatri...
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