limits - calculus

Question

Consider the function

h(t) = 4 cos (t) − 4/t2

a. Fill in the table below to look at the behavior neart = 0.

Enter UNDEFINED if the function is undefined.

Round answers to three decimal places.

t	h(t)
1	-1.839
0.5	-1.959
0.1	-1.998
0.01	-1.9999
0	UNDEFINED
−0.01	-1.9999
−0.1	-
−0.5	-
−1	-

b) Estimate the value of lim t→0 h(t) = _________

Answer 1

You have submitted the function incorrectly...you mean f(t)=4[cos(t)-1]/t² for which the limit is, in fact, -2.