If 0 < a < b, find
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Single Variable Calculus
- Let an+1 = (1+an)/3 and a1 = 0. a. Prove that an is increasing and bounded above by 3. b. Determine lim n→∞ an.arrow_forwardShow that if xn ≤ yn ≤ zn for all n ∈ N, and if lim xn = lim zn = l, then lim yn = l as well.arrow_forwardSuppose that lim x→0f(x)/x = 3. Thenlim x→−1f(x^2 + x)/(x^2 − x − 2) =(a) = −1 (b) = 1 (c) = 0 (d) does not exist (e) none of thesearrow_forward
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