Find the limit. $\lim _{t \rightarrow 0} \frac{4^{t}-3^{t}}{t}$
A) 0
B) $\infty$
C) $\ln 3-\ln 4$
D) $\ln 4-\ln 3$
E) 1

Name: Find the limit. $\lim _{t \rightarrow 0} \frac{4^{t}-3^{t}}{t}$ A) 0 B) $\infty$ C) $\ln 3-\ln 4$ D) $\ln 4-\ln 3$ E) 1
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Question

Quizplus · Accepted Answer

The limit can be evaluated using the definition of the derivative. It represents the derivative of $4^t - 3^t$ at $t = 0$, which is $\ln 4 \cdot 4^0 - \ln 3 \cdot 3^0 = \ln 4 - \ln 3$.

Find the Limit lim⁡t→04t−3tt\lim _{t \rightarrow 0} \frac{4^{t}-3^{t}}{t}limt→0​t4t−3t​ A) 0 B) ∞\infty∞

Find the Limit $\lim _{t \rightarrow 0} \frac{4^{t}-3^{t}}{t}$ A) 0
B) $\infty$