Find-lim-x-1-x-1-e-x-e-cos-t-5-dt-3-x-3-

Question Number 155620 by mathdanisur last updated on 02/Oct/21

Find : Ω = \lim_{x \to 1} \frac{\underset{x - 1}{\int^{e^{x} - e}} \cos (t^{5}) dt}{3^{x} - 3} = ?

Answered by mindispower last updated on 04/Oct/21

Ω = \lim_{x \to 1} \frac{e^{x} c o s ({(e^{x} - e)}^{5}) - c o s (x - 1)}{l n (3) . 3^{x}}

= \frac{e - 1}{3 l n (3)}