Question

Use the graph to determine the limit. (If an answer does not exist, enter DNE.) 

Is the function continuous at x=5 ?

Yes

No

Answer 1

(a)

we can find y value when x approaches to right of x=c=5

so, we get

(b)

we can find y value when x approaches to left of x=c=5

so, we get

(c)

Since,

left limit is

right limit is

Both are not equal

so,

..............Answer

(2)

Since, limit does not exist

so, it can not be continuous

Hence,

No is the Answer