Giới hạn \(\lim\dfrac{3^n-1}{2^n-2\cdot3^n+1}\) bằng
\(-1\) | |
\(-\dfrac{1}{2}\) | |
\(\dfrac{1}{2}\) | |
\(\dfrac{3}{2}\) |
Chọn phương án B.
Dùng máy tính cầm tay:
Chọn phương án B.
\(\begin{aligned}
\lim\dfrac{3^n-1}{2^n-2\cdot3^n+1}&=\lim\dfrac{1-\dfrac{1}{3^n}}{\dfrac{2^n}{3^n}-2+\dfrac{1}{3^n}}\\
&=\lim\dfrac{1-\left(\dfrac{1}{3}\right)^n}{\left(\dfrac{2}{3}\right)^n-2+\left(\dfrac{1}{3}\right)^n}\\
&=\dfrac{1-0}{0-2+0}=-\dfrac{1}{2}.
\end{aligned}\)