Question

attempt 1: 5 attempts remaining. evaluate the limit. give an exact answer if the limit is a number. otherwise, enter (-infty) or (infty) if the limit is infinite, or enter dne if the limit does not exist in another way. (limlimits_{t \to 0} \frac{9 - t^3}{sin(t) - 4})

Explanation:

Step1: Substitute $t=0$ into numerator

$9 - 0^3 = 9$

Step2: Substitute $t=0$ into denominator

$\sin(0) - 4 = 0 - 4 = -4$

Step3: Compute the fraction

$\frac{\text{Numerator result}}{\text{Denominator result}}$

Answer:

$\boldsymbol{-\frac{9}{4}}$