defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Binomial Theorem Special Terms of Binomial Expansion
The term independent of x in the expansion of \(\rm (1+x)^n\left[1+\left(\frac{1}{x}\right)\right]^n\) is
1
\(\rm C_0^2+2C_1^3+3C_2^2+...+(n+1)C_n^2\)
2
\(\rm C_1+C_2+C_3+...+C_n\)
3
\(\rm C_0^2+C_1^2+C_2^2+...+C_n^2\)
4
\(\rm C_1+2C_2+3C_3+...+nC_n\)