Which of the following statement(s) is/are correct ? (A) \( 1+\frac{2}{2}+\frac{3}{2^{2}}+\frac{...
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Which of the following statement(s) is/are correct ?
(A) \( 1+\frac{2}{2}+\frac{3}{2^{2}}+\frac{4}{2^{3}}+\ldots \ldots .+\infty=4 \)
\( \mathrm{P} \)
W)
(B) Integral part of \( (9+4 \sqrt{5})^{\mathrm{n}}, \mathrm{n} \in \mathrm{N} \) is even.
(C) \( \left({ }^{n} C_{0}+{ }^{n} C_{1}+{ }^{n} C_{2}+\ldots .+{ }^{n} C_{n}\right)=1+{ }^{2 n} C_{1}+{ }^{2 n} C_{2}+\ldots . .+{ }^{2 n} C_{2 n} \)
(D) \( \frac{1}{(3+2 x)^{2}} \) can be expanded as infinite series in ascending powers of \( x \) only if \( |x|\frac{2}{3} \).
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