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- Evaluate the limitlimx->infinity8/(e^x-8)=limx->-infinity8/(e^x-8)=Determine the Limit: Limx->infinity (1/8)xFind (a) limxS400+ :x; and (b) limxS400- :x;; then use limit definitions to verify your findings. (c) Based on your conclusions in parts (a) and (b), can you say anything about limxS400 :x;? Give reasons for your answer.
- Use Definition 4.2.1 ((Functional Limit).)to supply a proper proof for the following limit statements. (a) limx→2(3x + 4) = 10. (b) limx→0 x3 = 0. (c) limx→2(x2 + x − 1) = 5. (d) limx→3 1/x = 1/3.Evaluate the limit: lim t---->0 e2t - 1 / et -1Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4