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AAKASH SERIES-LIMITS-EXERCISE-I
- Lt(x to 0) (x^(2)+3x+2)/(2x^(2)+x+3)=
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- Lt(x to 0) (""^(n) sqrt(a-x)-""^(n) sqrt(a))/(x)=
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- underset(x to 0)"Lt" (sqrt(1+x^(3))-sqrt(1-x^(3)))/(x^(3))=
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- Lt(x to 0) (x^(2))/(sqrt(a+x^(2))-sqrt(a-x^(2)))=
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- Lt(x to 2) (x^(sqrt(2))-2^(sqrt(2)))/(x-2)=
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- underset(x to -1)"Lt" (x+1)/(2-sqrt(4+x+x^(2)))=
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- Lt(x to 0) (sin3x. Sin 4x)/(x.tan5x)=
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- Lt(thetato 0) (1-cos m theta)/(1-cos n theta)
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- Lt(x to 0) (1-cosax)/(xsin2x)=
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- underset(x to 0)"Lt" (cos ax-cos bx)/(x^(2))=
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- Lt(x to 0) (cos7x-cos9x)/(cos3x-cos7x)=
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- Lt(x to 0) (1-cos^(3)x)/(sin3x.sin5x)=
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- Lt(x to 0) (tanx-sinx)/(x^(2))=
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- underset(x to 0)"Lt" (1-cos 2x^(@))/(x^(2))=
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- Lt(x to 0) (1-cosax)/(x(e^(bx)-1))=
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- Lt(x to 0) (e^(sin ax)-e^(sin bx))/(tan2x)=
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- Lt(x to (pi)/(4)) (cosx-sinx)/((pi)/(4)-x)=
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- Lt(theta to pi//2) (1-sin theta)/((pi)/(2))- theta cos theta=
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- underset(x to pi//6)lim ((3sin x-sqrt3cosx)/(6x-pi))=
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- underset(x to oo)"Lt " 5^(x) sin (a/5^x)=
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