Calculate the following limit(s) if they exist.
-$\lim _ { x \rightarrow \infty }$ $\frac { 2 x ^ { 2 } + 1 } { x ^ { 2 } + 1 }$
A) 0
B) 2
C) ?
D) 1

Question

Quizplus · Accepted Answer

The limit can be found by dividing the numerator and the denominator by $x^2$, the highest power of $x$ in the expression. This simplifies to $\lim _ { x \rightarrow \infty }$ $\frac { 2 + \frac{1}{x^2} } { 1 + \frac{1}{x^2} }$, which approaches 2 as $x$ approaches infinity.

Calculate the Following Limit(s) If They Exist lim⁡x→∞\lim _ { x \rightarrow \infty }limx→∞​

Calculate the Following Limit(s) If They Exist $\lim _ { x \rightarrow \infty }$