Evaluate the following limit using the graph of the function. (If the function increases/decreases without bound, enter +∞/−∞; if it does not exist for another reason, enter DNE.)

Question

lim x→−∞ sin(x)

Answer 1

DNE the limit Does Not Exist

-1 < sin(x) < 1

the sine of an angle oscillates between -1 and 1, without end, never approaching any number as a limit

f(x) = sin(x) has no limit as x approaches -infinity or approaches +infinity