Justin drives west at 20 m/s, then slows to a stop at the red light. A graph of his acceleration over time is shown below, where
eastward is the positive acceleration direction. Which graph shows his velocity over time
2 answers:
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we are given that
f(x) is defined for all values of x except at x=c
Limit may or may not exist
case-1:
If there is hole at x=c , then limit exist
case-2:
If there is vertical asymptote at x=c , then limit does not exist
Examples:
case-1:
We can simplify it
so, we can see that limit exist and it's value defined
case-2:
Left limit is
Right Limit is
so, we can see that left limit is not equal to right limit
so, limit does not exist