Question

limit tak hingga
tolongin dong ​

Answer 1

Verified answer

LiMIT  x Tak hingga

[tex]\sf lim_{x\to \infty}\ \dfrac{3^x - 3^{-x}}{3^x + 3^{-x}}[/tex]

[tex]\sf lim_{x\to \infty}\ \dfrac{\frac{3^x}{3^x} - \frac{3^{-x}}{3^x}}{\frac{3^x}{3^x} + \frac{3^{-x}}{3^x}}[/tex]

[tex]\sf lim_{x\to \infty}\ \dfrac{1 - \frac{3^{-x}}{3^x}}{1+ \frac{3^{-x}}{3^x}}[/tex]

[tex]\sf = \dfrac{1 -0}{1+ 0} = \dfrac{1}{1}[/tex]

= 1