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Let’s do an exercise as warming up.Ex:Find lim x→0sin1/x.lim x→0sin1/x=lim1/x→∞sin1/x=lim t→∞sint(Let t=1/x).We know lim t→∞sint does not exist,so lim x→0sin1/x DNE.We can use graphing calculator to show the result is DNE(from figure 1to figure 8).
Let’s do an exercise as warming up. Ex: find lim x → 0 sin1 / x.lim x → 0 sin1 / x = lim1 / x → ∞ sin1 / x = lim t → ∞ sint Let t = 1 / x. lim t → ∞ sint does not exist, so lim x → 0sin1 / x DNE.We can use graphing calculator to show the result is DNE (from figure 1to figure 8).