Find the limit for the given function.
i know that i need to divide through by x, both top and bottom, but what do i do after this?
note that: $\displaystyle \frac {\sin 4x}x = \frac 44 \cdot \frac {\sin 4x}x = 4 \cdot \frac {\sin 4x}{4x}$
thus: $\displaystyle \lim_{x \to 0} \frac {\sin 4x}x = 4 \lim_{x \to 0} \frac {\sin 4x}{4x}$
now continue
Hint: this is in the form of a special limit
that would make no sense, you'd end up with exactly the same thing....i know that i need to divide through by x, both top and bottom, but what do i do after this?
Which of the following are continuous functions? (Select all that apply.)
The temperature at a specific location as a function of time.
The temperature at a specific time as a function of the distance due west from New York City.
The altitude above sea level as a function of the distance due west from New York City.
The cost of a taxi ride as a function of the distance traveled.
The current in the circuit for the lights in a room as a function of time.
None of these.