How did you put multiple pictures on this app? i can’t figure how to
Answer:
The limit of this function does not exist.
Step-by-step explanation:


To find the limit of this function you always need to evaluate the one-sided limits. In mathematical language the limit exists if

and the limit does not exist if

Evaluate the one-sided limits.
The left-hand limit

The right-hand limit

Because the limits are not the same the limit does not exist.
To find the acceleration of the bicycle rider, we are going to use the acceleration formula:

where

is the acceleration

is the initial speed

is the final speed

is the time
We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore,

,

, and

. Lets replace those values in our formula:



We can conclude that the acceleration of the bicycle rider 1 m/s^2