John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Numerator-Denominator Exponent Comparison: Understanding Limits as x Approaches Infinity

lim x->∞ pow top > pow bottom To evaluate the limit of a function as x approaches infinity, we need to compare the growth rates of the...

John Rhodes
July 7, 2023
Calculus

Asymptotic Behavior of Fractions with Power Functions: Evaluating the Limit as x Approaches Infinity

lim x->∞ pow top = pow bottom To find the limit of a fraction as x approaches infinity with a power in the numerator and denominator, we...

John Rhodes
July 7, 2023
Calculus

Unleashing the Power of Limits: Evaluating Infinity with Power Functions

lim x->∞ pow top < pow bottom To evaluate the limit as x approaches infinity of a power function, you can compare the growth rates of the...

John Rhodes
July 7, 2023
Calculus

Understanding the Behavior of Functions as x Approaches Infinity: A Guide to Evaluating Limits

limits as x approaches infinity When evaluating a limit as x approaches infinity, we are interested in understanding the behavior of a function as x becomes larger...

John Rhodes
July 7, 2023
Calculus

Solving the Limit of (1 – cos(x))/x as x Approaches 0 Using Trigonometric Identities

lim x->0 1-cosx/x To find the limit of the function as x approaches 0, we can simplify the expression using some trigonometric identities To find the limit...

John Rhodes
July 7, 2023
Calculus

Exploring the Limit of Sin(x)/x as x Approaches 0: Insights from Trigonometric Identity and Squeeze Theorem

lim x->0 sinx/x To evaluate the limit as x approaches 0 for sin(x)/x, we can use a basic trigonometric identity and the concept of the squeeze theorem...

John Rhodes
July 7, 2023
Calculus

The Sine Limit: Finding the Limit of sin(bx)/x as x Approaches 0

lim x->0 sinbx/x To find the limit of sin(bx)/x as x approaches 0, where b is a constant, we can use a common trigonometric limit known as...

John Rhodes
July 7, 2023
Calculus

Understanding Constant Functions: Exploring the Concept of Functions with Unchanging Outputs

constant function A constant function is a type of mathematical function where the output value is always the same, regardless of the input value A constant function...