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

$$\mathrm{Find}:\mathbf{\Omega }=\underset{\mathbf{x}\to 1}{\lim }\frac{\underset{\mathbf{x}-1}{\stackrel{{\mathbf{e}}^{\mathbf{x}}-\mathbf{e}}{\int }}\cos \left({\mathrm{t}}^5\right)\mathrm{dt}}{3^{\mathbf{x}}-3}=?$$

Answered by mindispower last updated on 04/Oct/21

$$\mathrm{\Omega }=\underset{x\to 1}{\lim }\frac{e^{x}cos\left({(e^x-e)}^5\right)-cos(x-1)}{ln\left(3\right).3^x}$$$$=\frac{e-1}{3ln\left(3\right)}$$

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