Evaluating Limits

Front

What is a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

Front

What does DNE stand for in limit evaluation?

Back

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

Front

What is the limit of a constant function?

Back

The limit of a constant function as x approaches any value is the constant itself.

Front

How do you evaluate the limit of a function as x approaches infinity?

Back

Evaluate the behavior of the function as x increases without bound; often involves analyzing leading terms.

Front

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

Back

The limit is 7.

Front

What is the limit of (x^2 - 4)/(x - 2) as x approaches 2?

Back

The limit is 4, after factoring and canceling.

Front

What is the Squeeze Theorem?

Back

The Squeeze Theorem states that if f(x) ≤ g(x) ≤ h(x) and the limits of f and h are equal at a point, then the limit of g at that point is also equal.

Front

What is the limit of sin(x)/x as x approaches 0?

Back

The limit is 1.

Front

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

Back

The limit is infinity.

Front

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

Back

The limit is negative infinity.