Well I just started to learn limits in my calculus class, and I'm getting it fairly well, but I'm a bit confused on these three:(adsbygoogle = window.adsbygoogle || []).push({});

1) the limit of (x^5 - 32)/(x-2) as x approaches 2.

The problem I have here is factoring the (x^5 - 32) part. Once I can get that factored I think I can handle the rest. :D

2) what is the limit of xsecx as x appraoches pi.

I simplified that to x(1/cosx) but that really got me nowhere.

3) and, last but not least, what is the limit of (1-tanx)/(sinx-cosx) as x approaches pi/4?

I broke this one down to [(2 sin 2x)/2x)(mx/3 sin 3x)], but I don't know where to go from there.

The two basic trig fxns I learned are:

the limit of sin x/x as x approaches 0 is equal to one

and

the limit of (1-cos x)/x as x approaches 0 is equal to zero

If anybody coiuld please lend me their wisdom, lead me into the right direction, I would be forever grateful. Thank you!

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# Homework Help: Limits! (one algebreic, two Trig)

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