Question

1+xlog2/1!+(xlog2)2/2!+(xlog2)3/3!...........................................

Answer 1

☣ EXPONENTIAL ☣
${a}^{x} = 1 + \frac{x ln(a) }{1} + \frac{(x ln(a) ) {}^{2} }{2.1} + \frac{(x ln(a) ) {}^{3} }{3.2.1} + ...a > 0$
Substitute ' a = 2 '
${2}^{x} = 1 + \frac{x ln(2) }{1} + \frac{(x ln(2) ) {}^{2} }{2.1} + \frac{(x ln(2) ) {}^{3} }{3.2.1} + ...a > 0$