SOLUTION: Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is less than 5, 8 when x equals 5, and x plus 3 when x i

Algebra.Com
Question 1139239: Find the indicated limit, if it exists. (2 points)
limit of f of x as x approaches 5 where f of x equals 5 minus x when x is less than 5, 8 when x equals 5, and x plus 3 when x is greater than 5

0

8

3

The limit does not exist.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The limit as x approaches 5 from the left (x<5) is 5-x = 5-5 = 0; the limit as x approaches 5 from the left (x>=5) is 8.

By definition, since the limits from the two directions are not the same, the limit does not exist.

RELATED QUESTIONS

Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 0... (answered by jim_thompson5910)
Find the indicated limit, if it exists. (7 points) limit of f of x as x approaches... (answered by MathLover1)
Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches... (answered by greenestamps)
Find the indicated limit, if it exists.(7 points) limit of f of x as x approaches 0... (answered by Theo)
Find the indicated limit, if it exists.(7 points) limit of f of x as x approaches 0... (answered by FrankM)
Let f(x) be sqrt(3-x) where x <= 1, x^2 where 1= 3. Find: limit (answered by Fombitz)
If the limit as x approaches 1 is (f(x)-8)/(x-1) = 10 FIND the limit of f(x) as x... (answered by CharlesG2)
what do you consider that a function is continuous.How to see if it exists. (answered by ikleyn)
If limit as x approaches a of f of x equals four and limit as x approaches a of g of x... (answered by solver91311)