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

Just brushing up on my calculus before I start college, but I'm having difficulty manipulating two different limit equations algebraically (sorry I can't find out how to put these into latex):

1) lim (t->0) {1/[t*sqrt(1+t)]} - (1/t)

2) lim (x->-4) [sqrt(x^2+9) - 5]/(x+4)

3. The attempt at a solution

don't know where to begin on (2), but for (1):

mult (1/t) by sqrt(1+t) to match denominators, left with [1 - sqrt(1+t)]/[t*sqrt(1+t)]

any hints?

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# Solving limits algebraically

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