I know Limit goes to 1 as x tends to zero but what happens when x tends to infinity.
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Originally Posted by charikaar I know Limit goes to 1 as x tends to zero but what happens when x tends to infinity. lemma: if is bounded in some neighborhood of and , then If the limit is when then must be bounded for , for some real number R Tonio
Hello, charikaar! I know: . but what happens when tends to infinity? . The numerator oscillates between -1 and +1, . . while the denominator tends to infinity. Therefore: .
Well , so for , By the squeeze theorem, as . Edit : damn, beat me to it.
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