lim-x-0-0-1-e-t-e-t-2-dt-1-cosx-

Question Number 145779 by Engr_Jidda last updated on 08/Jul/21

l i \underset{x \to 0}{m} \int_{0}^{1} (e^{t} + e^{- t} - 2) \frac{d t}{1 - c o s x}

Answered by ArielVyny last updated on 08/Jul/21

e^{t} + e^{- t} = 2 c h (t)

\frac{1}{1 - c o s x} \int_{0}^{1} 2 c h (t) - 2 d t = \frac{1}{1 - c o s x} {[2 s h (t) - 2 t]}_{0}^{1}

f (x) = \frac{e^{1} + e^{- 1} - 2}{1 - c o s x}

Missing \left or extra \right