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 limits?

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 a specific value?

Back

Substitute the value of x into the function, if the function is defined at that point.

Front

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

Back

The limit is 5.

Front

What is the limit of (x^2 - 1)/(x - 1) as x approaches 1?

Back

The limit is 2, after factoring and simplifying.

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 an infinite limit?

Back

An infinite limit occurs when the function increases or decreases without bound as x approaches a certain value.

Front

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

Back

The limit is Infinity.