Find the following limits. Justify your answer. (i) lim x to infinity (sqrtx+4 - x2) (ii) lim x to negative infinity  4x5-3x2+1 / x3+ 2x-1 (iii) lim x to infinity pie e 1/x)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. Find the following limits. Justify your answer.

(i) lim x to infinity (sqrtx+4 - x2)

(ii) lim x to negative infinity  4x5-3x2+1 / x3+ 2x-1

(iii) lim x to infinity pie e 1/x)

(Please give step-by-step instructions on how to solve the problem even if given different variations of this problem  as I will need to study this for an exam)

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