Limits Algebraically Practice

Front

What is the limit of a function as x approaches a?

Back

The limit of a function as x approaches a is the value that the function approaches as x gets closer to a.

Front

What does DNE stand for in limits?

Back

DNE stands for 'Does Not Exist', indicating that a limit does not approach a specific value.

Front

What is the limit of a constant function?

Back

The limit of a constant function is the constant itself.

Front

How do you find the limit of a polynomial function as x approaches a?

Back

Substitute the value of a into the polynomial function.

Front

What is the limit of f(x) = 2x + 3 as x approaches 1?

Back

The limit is 2(1) + 3 = 5.

Front

What is the limit of f(x) = 1/x as x approaches 0 from the right?

Back

The limit is +∞.

Front

What is the limit of f(x) = 1/x as x approaches 0 from the left?

Back

The limit is -∞.

Front

What is the Squeeze Theorem?

Back

The Squeeze Theorem states that if f(x) is squeezed between g(x) and h(x) and both g(x) and h(x) approach L as x approaches a, then f(x) also approaches L.

Front

What is the limit of f(x) = x^2 as x approaches 2?

Back

The limit is 2^2 = 4.

Front

What is a removable discontinuity?

Back

A removable discontinuity occurs when a function is not defined at a point, but the limit exists at that point.