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Practice Questions on Limits & Continuity

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10 Jan 2012 17:15:53 IST
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10 Jan 2012 17:15:53 IST
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Practice Questions on Limits & Continuity
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Differential Calculus , Maths , Limits

Sample Practice Questions on Limits & Continuity:

Properties of LimitsIf b and c are real numbers, n is a positive integer, and the functions ƒ and g have limits as x ® c ,then the following properties are true.1. Scalar multiple: limx®c[b(ƒ(x))] = b[limx®cƒ(x)]2. Sum or difference: limx®c[ƒ(x) ± g(x)] = limx®cƒ(x) ± limx®cg(x)3. Product: limx®c[ƒ(x)g(x)] = [limx®cƒ(x)][limx®cg(x)]4. Quotient: limx®c[ƒ(x)/g(x)] = [limx®cƒ(x)]/[limx®cg(x)], if limx®cg(x) ¹ 0One-Sided Limitslimx®a+ƒ(x) x approaches c from the rightlimx®a-ƒ(x) x appr

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