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I know that $\\infty/\\infty$ is not generally defined I only ask because i'm working. However, if we have 2 equal infinities divided by each other, would it be 1

Does anyone have a recommendation for a book to use for the self study of real analysis For some reason i feel like both should result in the same number 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 $1$ is. 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

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

Nietzsche recalls the story that socrates says that 'he has been a long time sick', meaning that life itself is a sickness Nietszche accuses him of being a sick man, a man against the instincts of. You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful

Basically, what is the difference between $1000\\times1.03$ and $1000/.97$

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