APFIVE Evaluating a Trigonometric Limit
Solve the equation: $$\lim_{x \to 0} \frac{\sin(4*x)}{\tan(2*x)}$$.
| x | (sin(4x))/tan(2x) |
|---|---|
| 0.01 | approx 2 |
| -0.01 | approx 2 |
A
$$1$$
B
$$\frac{\sin(4*x)}{\tan(2*x)}$$
C
$$2$$
D
By expressing $$\tan(2*x)$$ as $$\frac{\sin(2*x)}{\cos(2*x)}$$ and simplifying with the double-angle identity, the limit evaluates to 2.
Question Leaderboard
| Rank | |||||
|---|---|---|---|---|---|
| #1 | haneesh19.12 | 2 | 2 | 0m 00s | 200 |
| #2 | omar.nurdaulet24 | 1 | 1 | 0m 09s | 91 |
| #3 | Derinchiay2013 | 1 | 1 | 0m 11s | 89 |
| #4 | bhavyarajdharnia | 1 | 1 | 0m 25s | 75 |
| #5 | yeejayc | 1 | 1 | 0m 43s | 57 |
| #6 | giannapettit | 0 | 2 | 0m 00s | -20 |
| #7 | kamalkaren31 | 0 | 2 | 0m 30s | -50 |
Items per page:
10
1 – 7 of 7