APFIVE Special Trigonometric Limit Property
Without using a calculator, determine which equation represents a function that approaches $$2$$ as $$x \to 0$$, given the limit property $$\lim_{x\to0} \frac{\sin(2*x)}{x} = 2$$.
| x | f(x) = sin(2*x)/x |
|---|---|
| -0.1 | ≈ 1.998 |
| 0.1 | ≈ 2.002 |
A
$$\frac{\sin(x)}{2*(x)}$$
B
$$\frac{\sin(2*(x))}{x}$$
C
$$\frac{\sin(2*(x))}{2*(x)}$$
D
$$\frac{\sin(2*(x))}{x+1}$$
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