$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

<h3>How to determinate the limit in a piecewise function</h3>

In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.

According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:

$\lim_{t \to 14.75^{-}} f(t) = 66$ .
$\lim_{t \to 14.75^{+}} f(t) = 10$ .
$\lim_{t \to 14.75} f(t)$ does not exist as $\lim_{t \to 14.75^{-}} f(t) \ne \lim_{t \to 14.75^{+}} f(t)$ .

To learn more on piecewise function: brainly.com/question/12561612

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8 0

1 year ago

A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?

lara [203]

circumference =2×pi×r

18/2=9(r)

so...2×pi×9

=54..5

6 0

2 years ago

Read 2 more answers

FIRST CORRECT ANSWER WILL GET BRAINLIEST

ivanzaharov [21]

Answer:

The y intercept is the point at which a line crosses the y axis. In the graph the y axis is crossed at 0, 2 or just 2

Step-by-step explanation:

5 0

2 years ago

one tube of maybelline great lash mascara is sold every 2.7 seconds. how many tubes are sold in a half of a day. round to the ne

natka813 [3]

I got 16,000 tubes are sold in half a day because there are 720 minutes in 12 hours, and 43,200 seconds in 720 minutes then you divide by 2.7 and get 16,000

3 0

2 years ago