Repeat Exercises 1013 by using a combination of row reduction and cofactor expansion.

L11 - 3 Inﬁnite Limits at Inﬁnity Def. x→∞m f(x)= ∞ if we can make f(x)a sleaswe want by choosingx suﬃciently large. We have similar deﬁnitions for lf i(x)= ∞, x→−∞ lim f(x)= −∞ and lim f(x)= −∞. x→∞ x→−∞ To evaluate limits at inﬁnity The limit laws still apply, and are often used with the following theorem to evaluate limits at inﬁnity. Theorem. If r> 0s iartilnm e,hn 1 x→∞m xr = and 1 lim = x→−∞ x r 1 provided xr is deﬁned when x →∞ or x →− ∞ .