Find the limit (if it exists). $\lim _ { t \rightarrow + \infty } \frac { t ^ { 2 } } { t + 2 }$
A) $- \frac { 1 } { 2 }$
B)0
C)2
D) $\frac { 1 } { 2 }$
E)$\infty$

Question

Find the limit (if it exists).  $\lim _ { t \rightarrow + \infty } \frac { t ^ { 2 } } { t + 2 }$ 
A) $- \frac { 1 } { 2 }$
B)0
C)2
D) $\frac { 1 } { 2 }$
E)$\infty$

Quizplus · Accepted Answer

As $t$ approaches infinity, both the numerator $t^2$ and the denominator $t+2$ grow without bounds, but the numerator grows much faster than the denominator. This causes the fraction as a whole to grow without bounds, leading to a limit of infinity.

Find the Limit (If It Exists) lim⁡t→+∞t2t+2\lim _ { t \rightarrow + \infty } \frac { t ^ { 2 } } { t + 2 }limt→+∞​t+2t2​

Find the Limit (If It Exists) $\lim _ { t \rightarrow + \infty } \frac { t ^ { 2 } } { t + 2 }$