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AAKASH SERIES-LIMITS-EXERCISE-I
- 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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- Lt(x to 2) (xf(2)-2f(x))/(x-2)=
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- underset(x to oo)lim (3x^(2)+5x+2)/(2x^(2)-3x+1)=
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- underset(x to oo)lim (2x+7)/(x^(2)+5x+4)=
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- underset(x to oo)lim (-x^(3)+8)/(2x^(2)+5x+7)=
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- If 7-(x^(2))/(12) le f(x) le7+(x^(3))/(5) for all n ne=0 then Lt(x to ...
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- Lt(x to oo) (x)/(sqrt(ax^(2)+b)-sqrt(cx^(2)+b))=
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- Lt(x to oo) ((n+2)!+(n+1)!)/((n+2)!-(n+1)!)=
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- Lt(x to oo) (3|x|+2x)/(4|x|-x)=
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- underset(x to -∞ )"Lt" (2|x|+x)/(5|x|-3x)=
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