Find at least one point at which each of the following functions is not continuous and state which of the three conditions in the definition of continuity is violated at that point

Question

Topic: Differential Calculus Posted 1 year ago

Find at least one point at which each of the following functions is not continuous and state which of the three conditions in the definition of continuity is violated at that point

Find at least one point at which each of the following functions is not continuous and state which of the three conditions in the definition of continuity is violated at that point:

a) (x+5)/(x-3)

Answers

What are best answers and total votes?

No Votes

Vote

SignIn to Vote

Koala Tutor

Oct 10, 2023

Koala Ai Support

To find a point at which the function is not continuous, we need to consider the denominator of the function, which is (x-3). For the function to be continuous, the denominator cannot be equal to zero.

Setting the denominator equal to zero, we get:

x - 3 = 0

Solving for x, we find that x = 3.

Therefore, the function (x+5)/(x-3) is not continuous at x = 3 because it violates the first condition of the definition of continuity, which states that a function must be defined at that point.

Got a question with my answer?

Message Me

Community

✅ Completely FREE!

✅ Powered by GPT-4

Marketplace

✅ Get unlimited help from freelance Math experts.

Premium (Coming Soon)

✅ GPT-4 + Premium Access

Guide On Rating System

Vote

Cheapmath.com is completely free!
Asking question is free. Getting answers is free.

+99