Suppose (x) = x(2 + sin x) and let g(x) = x 2 + 1. Do (a)
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Suppose ƒ(x) = x(2 + sin x) and let g(x) = x2 + 1.
Do (a) and (b) contradict L’Hôpital’s Rule? Explain.
Transcribed Image Text:
(a) Show directly that lim f(x)/g(x) = 0. X→∞0 (b) Show that lim f(x) = lim g(x) = ∞o, but lim f'(x)/g'(x) does not exist. X→00 X→∞0 X-00
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a 1 2 sin x 3 so Since it follows by the Squeeze Theorem that X x 1 x2 sin x x 1 provi...View the full answer
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