1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lynna [10]
3 years ago
15

HELP PLEASEE !!! What is the left-hand limit of f(x)=|x-3|/x-3 as approaches 3?

Mathematics
2 answers:
aleksklad [387]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

x-3 is negative when x aproaches 3 from the left so the limit can be rewritten as

\lim_{x \to 3-} \frac{-x+3}{x-3}\\ = \lim_{x \to 3-} \frac{-(x-3)}{x-3}\\\\=-1

ladessa [460]3 years ago
3 0

Answer:

Option D  -1

Step-by-step explanation:

Given : Function f(x)=\frac{|x-3|}{x-3}

To find : What is the left-hand limit of function as approaches 3?      

Solution :

Function f(x)=\frac{|x-3|}{x-3}

In left-hand limit, x\rightarrow 3^-

x

So, f(x)=\frac{|x-3|}{x-3}=\frac{-(x-3)}{x-3}=-1,x\neq3

\lim_{x\rightarrow3^-}f(x)= \lim_{x\rightarrow3^-} (-1)=-1

Therefore, The left-hand limit of function as approaches 3 is -1.

So, Option D is correct.

You might be interested in
Solve this equation using an algebraic method: (x + 4)( x - 4) = 9
Svetradugi [14.3K]
This is the answer that i was going to upload :
the answer is +5(or)-5 because  of root

3 0
3 years ago
Read 2 more answers
Solve, then check algebraically and graphically. 7x+14= 56
kari74 [83]

Answer:

x = 6

Step-by-step explanation:

7 x = 56-14

7 x = 42

7 x/7 to remain with x only = 42

then x = 6

6 0
3 years ago
How do i solve these questions? <br><br> can someone please tell me thanks :)
Vika [28.1K]
To find the area of this just add the units I believe which is 21
Hope this helps good luck. Not sure if this is 100% right my last year teacher was a sucky one
6 0
3 years ago
Fifteen years later, a man will be two times as old as he was 15 years ago. How old is he now?
Inga [223]

Answer:

Let the present age of the man be x years.

Age of the man 15 years ago =(x−15) years and

Age of the man 15 years later =(x+15) years

According to the given condition, we have

(x+15)=2(x−15)

⇒x+15=2x−30

⇒x−2x=−30−15

⇒−x=−45 or x=45 years

Hence, the present age of the man is 45 years.

Step-by-step explanation:

Hope it helps you..

Your welcome in advance..

(◍•ᴗ•◍)

6 0
2 years ago
Read 2 more answers
The area of an ​20 -cm-wide rectangle is 440 cm. What is its​ length?
Nataly [62]

Answer:

22cm

Step-by-step explanation:

440÷20

8 0
3 years ago
Other questions:
  • At a new store a CD costs $15.99. At a second store the same CD costs 0.75 as much. About how much does the second store charge?
    14·1 answer
  • 10 Points and brainlyest.<br><br> Thanks
    7·2 answers
  • 100 Points last one i promise! helpp! ​
    15·2 answers
  • 11
    9·1 answer
  • What is the difference between 1.37 and 0.52
    5·1 answer
  • Suppose f(x) = 2x + 4. Describe how the graph of g compares with the graph of f. g(x) = f(x) + 8
    15·2 answers
  • g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not expos
    7·1 answer
  • Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)
    5·1 answer
  • Find a, b, and c please and thank u
    9·1 answer
  • I need help please. Trying to get my HS diploma. I did not graduate :(
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!