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If length ofperpendiculardrawn from points of a curve to a straight line approacheszero along an infinitebranchof the curve, the line is said to be an asymptote to the curve. For example , y-axis is an asymptote to y = lnx& x-axisis an asymptote toy = e^(-x). If lim_(xrarr0) f(x) = e (a finite number) then y = e is an asymptote to y = f(x) . Similarly if lim_(xrarr0) f(x) = alpha, then y = alphais also an asymptote. If lim_(xrarra) f(x) = oo or lim_(xrarra) f(x) = -oo, then x = a is a an asymptote to y = f(x). Area bounded by y = (2x)/(x^(2)+1), it's asymptoteand ordinatesat points of extremum is equal to(in suare unit) |
| Answer» SOLUTION :N//A | |