The sum of the series `log_e(3)+(log_e(3))^3/(3!)+(log_e(3))^5/(5!)+....+ ` is

The sum of the series log_(9)3+log_(27)3-log_(81)3+log_(243)3- ....... is a) 1-log_(e)2 b) 1+log_(e)2 c) log_(e)2 d) log_(e)3

log_(e)2+((log_(e)2)^2)/(2!)+((log_(e)2)^(3))/(3!)+....=

log_(e)3+((log_(e)3)^(2))/(2!)+((log_(e)3)^(3))/(3!)+....=

Let x and a be positive real numbers Statement 1: The sum of theries 1+(log_(e)x)^(2)/(2!)+(log_(e)x)^(3)/(3!)+(log_(e)x)^(2)+…to infty is x Statement2: The sum of the series 1+(xlog_(e)a)+(x^(2))/(2!)(log_(e)x))^(2)+(x^(3))/(3!)(log_(e)a)^(3)/(3!)+to infty is a^(x)

Let x and a be positive real numbers Statement 1: The sum of theries 1+(log_(e)x)^(2)/(2!)+(log_(e)x)^(3)/(3!)+(log_(e)x)^(2)+…to infty is x Statement2: The sum of the series 1+(xlog_(e)a)+(x^(2))/(2!)(log_(e)x))^(2)+(x^(3))/(3!)(log_(e)a)^(3)/(3!)+to infty is a^(x)

1+(log_(e)5)/(1!) +(log_e5)^2/(2!)+(log_e5)^3/(3!)+ .......oo =

The value of 1-log_(e)2+(log_(e)2)^(2)/(2!)-(log_(e)2)^(3)/(3!)+.. is