Find the limit. $\lim _{t \rightarrow \infty} \frac{t^{2}+3}{t^{3}+t^{2}-7}$
A) $\infty$
B) $-3$
C) 0
D) 3
E) 7

Name: Find the limit. $\lim _{t \rightarrow \infty} \frac{t^{2}+3}{t^{3}+t^{2}-7}$ A) $\infty$ B) $-3$ C) 0 D) 3 E) 7
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Question

Quizplus · Accepted Answer

As $t$ approaches infinity, the highest power of $t$ in the denominator dominates, so the expression approaches $\frac{t^3}{t^3}=\boxed{1}$.

Find the Limit lim⁡t→∞t2+3t3+t2−7\lim _{t \rightarrow \infty} \frac{t^{2}+3}{t^{3}+t^{2}-7}limt→∞​t3+t2−7t2+3​ A) ∞\infty∞ B) −3-3−3 C) 0 D) 3 E) 7

Find the Limit $\lim _{t \rightarrow \infty} \frac{t^{2}+3}{t^{3}+t^{2}-7}$ A) $\infty$ B) $-3$ C) 0
D) 3
E) 7