(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1) limit of [ sqrt (1+2x) - sqrt (1-3x) ] / x as x tends to 0

2) limit of (3x^4 -8x^3 + d) / (x^3 - x^2 - x + 1) as x tends to 1

3) limit of [ sqrt (x^2 + 1) - sqrt (x^2 - 1) ] as x tends to infinity

2. Relevant equations

3. The attempt at a solution1) a little confusion here... is the limit 0 or 5/2?

2) since the function is continuous at x0=1, then sub. 1 into all x and the limit does not exist since the denominator = 0 (is it correct?)

3) divide each term inside the sqrt by x^2 and get sqrt 1 - sqrt 1 = 0

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# Homework Help: Limit of function

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