The value of the series x logea+ x3/3! (logea)3+x5/5! (logea)5+...... is :
A. cosh (x logea)
B. coth (x logea)
C. sinh (x logea)
D. tanh (x logea)
The coefficient of xn in the expansion of loge(1+3x+2x2) is
A. (-1)n-1(1+2n)/n
B. (-1)n(1+2n-1)/n
C. (-1)n-12n/n
D. (-1)n(2n-1)/n
If n=3m then the coefficient of xn in the expansion of log(1+x+x2) is
A. n
B. 1/n
C. 2/n
D. -2/n
If x is very small and neglecting x3 and higher powers of x then the expansion of log(1+x2)-log(1+x)-log(1-x) as ascending powers of x is
A. 2x
B. 2x2
C. 1+2x
D. 1-x2