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DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1B( One Sided Limits)
- underset(x to oo)"Lt"sqrt [({x-sin x})/(x+cos^(2)(x))]=
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- underset(n to oo)"Lt" (sin n theta)/(sqrtn)=
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- underset(x to pi//2)"Lt" (e^(-tan theta)) sec^(2) theta=
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- underset(x to -oo)"Lt" (x^(4).sin(1//x)+x^(2))/(1+|x|^(3))=
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- underset(x to 0)"Lt" 1/x=
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- underset(x to oo)"Lt" 1/x=
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- underset(x to 0)"Lt" 1/x^(2)=
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- underset(x to oo)"Lt" 1/x^(2)=
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- underset(x to oo)"Lt" 1/x^(2)=
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- underset(x to 0)"Lt" e^(1//x)=
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- underset(x to oo)"Lt" (e^(1//x)-e^(-1//x))/(e^(1//x)+e^(-1//x))=
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- underset(x to 0)"Lt" (2^(1//x)-1)/(2^(1//x)+1)=
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- underset(x to 3)"Lt" [x]=
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- underset(x to 4+)"Lt" {[x]+x}=
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- underset(x to 2-)"Lt" {[x]+x}=
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- underset(x to 5+)"Lt" {x-[x]}=
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- underset(x to 0+)"Lt" [x] sin"" 1/x=
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- underset(x to pi//2)"Lt" [sin x]=
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- If a gt 0" then " underset(x to oo)"Lt" ([ax+b])/(x)=
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- underset(x to oo)"Lt" ([x]+[2x]+[3x]+....+[nx])/(n^(2))=
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