Find the limit algebraically.
-$$\lim _ { x \rightarrow 0 } \frac { 3 \tan x } { 7 x }$$
A) 1
B) Does not exist
C) $\frac { 3 } { 7 }$
D) 0

Question

Quizplus · Accepted Answer

The limit can be solved by recognizing that $\lim _ { x \rightarrow 0 } \frac { \tan x } { x } = 1$. Therefore, the given limit simplifies to $\lim _ { x \rightarrow 0 } \frac { 3 \tan x } { 7 x } = \frac { 3 } { 7 } \cdot \lim _ { x \rightarrow 0 } \frac { \tan x } { x } = \frac { 3 } { 7 } \cdot 1 = \frac { 3 } { 7 }$.

Find the Limit Algebraically lim⁡x→03tan⁡x7x\lim _ { x \rightarrow 0 } \frac { 3 \tan x } { 7 x }x→0lim​7x3tanx​

Find the Limit Algebraically $\lim _ { x \rightarrow 0 } \frac { 3 \tan x } { 7 x }$