Question and Answers Forum

All Questions      Topic List

Limits Questions

Previous in All Question      Next in All Question      

Previous in Limits      Next in Limits      

Question Number 10830 by Saham last updated on 26/Feb/17

$$\underset{x\to \mathrm{\infty }}{\lim }\frac{3^{\mathrm{x}}-3^{-\mathrm{x}}}{3^{\mathrm{x}}+3^{-\mathrm{x}}}$$

Answered by bahmanfeshki last updated on 26/Feb/17

$$\underset{x\to \mathrm{\infty }}{\lim }\frac{3^x(1-\frac{1}{3^{2x}})}{3^x(1+\frac{1}{3^{2x}})}=1$$

Answered by FilupS last updated on 27/Feb/17

$$L=\underset{x\to \mathrm{\infty }}{\lim }\frac{3^x-3^{-x}}{3^x+3^{-x}}$$$$L=\underset{x\to \mathrm{\infty }}{\lim }\frac{1-3^{-2x}}{1+3^{-2x}}=\frac{1-0}{1+0}$$$$L=1$$

Commented by Saham last updated on 27/Feb/17

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com