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3.5 Calculus • 65> value(%);18Taking the limit of an expression from either the positive or the negativedirection is also possible. For example, consider the limit of tan(x)as x approaches π/2.Calculate the left-hand limit by using the option left.> Limit(tan(x), x=Pi/2, left);limx → (1/2 π)− tan(x)> value(%);∞Do the same for the right-hand limit.> Limit(tan(x), x=Pi/2, right);limx → (1/2 π)+ tan(x)> value(%);−∞Another operation easily performed in Maple is the creation of seriesapproximations of a function. For example, use the function> f := x -> sin(4*x)*cos(x);f := x → sin(4 x) cos(x)> fs1 := series(f(x), x=0);fs1 := 4 x − 38 3 x3 + 42130 x5 + O(x 6 )

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