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The term independent of x in $(1 + x)^{m} {(1 + \frac{1}{x})}^{n}, is$

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m+nCm

m+nCn+1

m+nCm−n

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Correct option is A

Given,(1+x)m⋅1+1xnTo find Term independent of xcoefficient of x0 in (1+x)m⋅x+1xn⇒coefficient of x0 in (1+x)m+nxn⇒ Coefficient of xn in (1+x)m+n⇒ Coefficient of xn in m+nCrxr⇒m+nCn, put r=n.'. Term independent of. x =m+nCn or m+nCm

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The term independent of x in (1+x)m1+1xn, is

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The term independent of x in $(1 + x)^{m} {(1 + \frac{1}{x})}^{n}, is$