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## Main Question or Discussion Point

(1+x)^n=1+nx/1!+(n(n-1) x^2)/2!+⋯+ what are the last few terms of this ? I looked and tried but don't seem to get any text book answer for this.

- Thread starter rohan03
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- #1

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(1+x)^n=1+nx/1!+(n(n-1) x^2)/2!+⋯+ what are the last few terms of this ? I looked and tried but don't seem to get any text book answer for this.

- #2

tiny-tim

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(try using the X

the binomial coefficients are

so it ends … + n(n-1) x^{n-2}/2! + nx^{n-1}/1! + x^{n}

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Thank you . Can I prove with the help of this :

(1+n)^{n} ≥ 5/2n^{n}- 1/2n ^{n-1}

(1+n)

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and if yes - please guide on how

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tiny-tim

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just write out the last three terms …Thank you . Can I prove with the help of this :

(1+n)^{n}≥ 5/2n^{n}- 1/2n^{n-1}

what do you get?

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HallsofIvy

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This was also posted under "homework" so I am closing this thread.

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