Which of the following is not continuous at x = 0?
Practice Questions
Q1
Which of the following is not continuous at x = 0?
f(x) = x^3
f(x) = e^x
f(x) = 1/x
f(x) = ln(x)
Questions & Step-by-Step Solutions
Which of the following is not continuous at x = 0?
Step 1: Understand what it means for a function to be continuous at a point. A function is continuous at a point if you can draw it without lifting your pencil.
Step 2: Identify the function in the question, which is f(x) = 1/x.
Step 3: Check the value of the function at x = 0. Substitute 0 into the function: f(0) = 1/0.
Step 4: Realize that 1/0 is undefined. This means that f(0) does not exist.
Step 5: Since f(0) is undefined, the function f(x) = 1/x cannot be continuous at x = 0.
