f-t-t-0-e-st-tanh-t-dt-lim-t-0-f-t-g-t-1-t-f-t-lim-n-g-n-h-1-n-1-h-

Question Number 205487 by MathedUp last updated on 22/Mar/24

f (t) = t \cdot \int_{0}^{\infty} e^{- s t + \tanh (t)} d t

\lim_{t \to 0} f (t) = ? ? ?

g (t) = \frac{1}{t} f (t)

\lim_{n \to \infty} {g (n) - \underset{h = 1}{\sum^{n}} \frac{1}{h}} = ? ? ?