Calculus (early transcendentals book)

Test Preparation AP Test Preparation
1

<p>hey.... im doing a calc class this summer and i havent been really confused on anything til these questions... could you guys help me?? thanks :) </p>

<p>Apply the limit laws and the theorems to show that the given function is continuous on the indicated interval.</p>

<p>(i dont really get what they mean by that... hmm)</p>

<p>g(x) = x^3/x^2+2x+5...
so i broke it up into x^3 and 1/blah... but i dont think thats what they want? im not sure...</p>

<p>f(x) = 1/x+1 for x>-1... ( i obviously get why these are true lol i just dont knhow how to prove it..)</p>

<p>g(t) = (1-2sint)^.5 -1/6pi to 1/6 pi</p>

<p>I think if anyone could help me with just one, i could figure it out.... i dont think its supposed to be hard, i just dont know what they want... anyways, thanks for reading all of this!!</p>

2

<p>
[quote]
Apply the limit laws and the theorems to show that the given function is continuous on the indicated interval.

[/quote]

What is the indicated interval?</p>

3

<p>i listed them on each one except for g(x) which is all reals</p>

4

<p>Prove that there is no asymptote perhaps, and thus no fundamental discontinuity. I imagine there aren't any removable discontinuities as they aren't not defined piece-wise.</p>