The fraction m-1m-1-n-1 is equal to

The correct option is D nm+n The value of m ^ 1 m ^ 1 + n ^ 1 = 1 / m #160; 1 / m + 1 / n #160; = 1 / m #160; m+n / mn #16 ...

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Finding Integral Part of Numbers of the Form a^b Where a Is Irrational

The fraction ...

Question

The fraction $\frac{m^{- 1}}{m^{- 1} + n^{- 1}}$ is equal to

m

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\frac{m}{m + n}

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\frac{m + n}{m}

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\frac{n}{m + n}

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\frac{m + n}{m - n}

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Solution

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$I_{m, n} = \int_{0}^{1} x^{m} (log x)^{n} d x$ , then $I_{m, n}$ is equal to

2 [\frac{m - n}{m + n} + \frac{1}{3} {(\frac{m - n}{m + n})}^{3} + \frac{1}{5} {(\frac{m - n}{m + n})}^{5} + . . .]

(w i t h n \geq m)

(\begin{matrix} n m \end{matrix}) =^{n} C_{m}

(\begin{matrix} n m \end{matrix}) + (\begin{matrix} n - 1 m \end{matrix}) + (\begin{matrix} n - 2 m \end{matrix}) + . . . . . . . . . . + (\begin{matrix} m m \end{matrix}) = (\begin{matrix} n + 1 m + 1 \end{matrix})

l (m, n) = \int_{0}^{1} t^{m} (1 + t)^{n} d t

l (m, n)

l (m + 1, n - 1)

n, m \in N

n \geq m

^{n} C_{m} + 2^{n - 1} C_{m} + 3^{n - 2} C_{m} + . . . +^{m} C_{m} =^{n + 1} C_{m + 1}

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