cos(1/x) is always bounded between ±1, so whatever value it takes in that range, the product |x|*cos(1/x) will always be in the range -x to x. Hence, in the limit when x is zero so also |x|*cos(1/x) will be zero.
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One gross is 144 items, so
3 cans = $8.00
1 can = $8.00/3
144 cans = 144*8.00/3 = $384
i^179 = -i
i^2013 = i
so i^179 + i^2013 = 0 + 0i
There is no general analytical solution for quintic algebraic equations, but a Newton-Raphson numerical method can be used:
So s ≈ -1.253462
There are four other solutions as well, but these are all complex.
If you mean in scientific notation this will be 10^9 (because 10^2/10^-7 = 10^(2- -7) = 10^(2+7) = 10^9)
kilo = 1000, so divide by 1000
nano = 10-9, so divide by 10-9, or, equivalently, multiply by 109.
peta = 1015
femto = 10-15
atto = 10-18
so 10-16 grams = 10-31 petagrams = 0.1 femtograms = 100 attograms
There is no single answer to this. It depends on the expressions themselves, what type of numbers (e.g. rational, irrational), what tools you are using (e.g. by hand, using computer software, calculator) etc.
Do you have an example or two in mind?
Yes, that's the right approach. I got a slightly different numerical answer (13.37m), but that's primarily because I used more decimal places for t (3.4641 s).
Anonymous is basically correct, though there is one exception. If x = -2/3 then the result, 0^0, is not defined.
+33667 
