Question

Find the indicated limit, if it exists.

limit of f of x as x approaches 2 where f of x equals x plus 3 when x is less than 2 and f of x equals 3 minus x when x is greater than or equal to 2

Answer 1

where are you stuck?

Answer 2

I dont know where to start

Answer 3

I am having a lot of trouble with this lesson. can you walk me through it please?

Answer 4

\(lim_{x\rightarrow 2}x+3=??\)

Answer 5

I will draw it

Answer 6

just replace x =2 into it. so x+3 =2+3 =5, hence lim =5

Answer 7

can you help me with this one too?

User: Colton Stanger
In Course: Pre-Calculus V12 ( 3831)
Instructor: David DAgostino
Exam: 9.04 Continuity at a Point
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Question 1 (Multiple Choice Worth 2 points)

Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 5 as x approaches 5 from the left.

1 ; no vertical asymptotes
-∞ ; x = 5
∞ ; x = -5
-∞ ; x = -5
Question 2 (Multiple Choice Worth 2 points)

Find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0

-9
-7
2
The limit does not exist.
Question 3 (Multiple Choice Worth 2 points)

Find the indicated limit, if it exists.

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

Answer 8

for question1, if x =-5 then f(x) is undefined, hence x =-5 is asymptote

Answer 9

when x =5 just replace into f(x) , that is its limit

Answer 10

hence the right one is -infinitive, x =-5