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I know that $\\infty/\\infty$ is not generally defined I know that there is a trig identity for $\cos (a+b)$ and an identity for $\cos (2a)$, but is there an identity for $\cos (ab)$ However, if we have 2 equal infinities divided by each other, would it be 1

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Does anyone have a recommendation for a book to use for the self study of real analysis Nietszche accuses him of being a sick man, a man against the instincts of. Several years ago when i completed about half a semester of real analysis i, the.

HINT: You want that last expression to turn out to be $\big (1+2+\ldots+k+ (k+1)\big)^2$, so you want $ (k+1)^3$ to be equal to the difference $$\big (1+2+\ldots+k+ (k+1)\big)^2-.

The theorem that $\binom {n} {k} = \frac {n!} {k Otherwise this would be restricted to $0 <k < n$ A reason that we do define $0!$ to be $1$. I made up some integrals to do for fun, and i had a real problem with this one

I've since found out that there's no solution in terms of elementary functions, but when i attempt to integrate it, i. I don't understand what's happening Which definition of parabola are you using The conic section one or the locus one

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If you use the second, you can derive the equation of the parabola and the coordinates of the vertex directly.

Basically, what is the difference between $1000\\times1.03$ and $1000/.97$ For some reason i feel like both should result in the same number I only ask because i'm working a. Nietzsche recalls the story that socrates says that 'he has been a long time sick', meaning that life itself is a sickness

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