Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Consider the piecewise function. f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus? Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus. Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus. Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus. Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.

Sagot :

likeafairy221b

Answer:

A) 2 9

Step-by-step explanation:

got it right on edge :) good luck!

Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.

The correct option is (A)

What is piecewise function?

Piecewise function is a function built from pieces of different functions over different intervals.

The given function is: f(x)= [tex]\left \{ {{2x, \;\; x < 1} \atop {-4, \;\; x=1} \right \atop {x+8, \;\; x > 1}[/tex]

As,  piecewise function is a function built from pieces of different functions over different intervals.

As per the above discussion we can say that,

Take function for limit 1 minus, as f(x)  = 2x

put x=1,

f(x)=2, exits.

Take function for limit 1 plus, as f(x)  = x+8

put x=1,

f(x)=9, exits.

As both satisfies the definition and part (A)

As well as both limit exist and are not equal.

So, Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus for the given f(x).

Learn more about piecewise function here:

https://brainly.com/question/12561612

#SPJ2

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.