John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Calculus

Understanding the Limit as x Approaches Infinity for Functions with Powers: Comparing Degrees of Powers

lim x->∞ pow top < pow bottom To find the limit as x approaches infinity of a function with a power on top and a power on...

John Rhodes
July 7, 2023
Calculus

Understanding the Behavior of Functions as x Approaches Infinity: Evaluating Limits and Possible Outcomes

limits as x approaches infinity When considering the limit as x approaches infinity, we are interested in understanding the behavior of a function as the input values...

John Rhodes
July 7, 2023
Calculus

Finding the Limit as x Approaches 0 of (1 – cos(x))/x: Simplification and Application of L’Hôpital’s Rule

lim x->0 1-cosx/x To find the limit of the function as x approaches 0, we can apply the special limit known as the limit as x approaches...

John Rhodes
July 7, 2023
Calculus

Exploring the Limit of sin(x)/x as x Approaches 0 Using L’Hospital’s Rule and the Limit Definition of the Derivative

lim x->0 sinx/x To find the limit of sin(x)/x as x approaches 0, we can use the concept of L’Hospital’s Rule or the limit definition of the...

John Rhodes
July 7, 2023
Calculus

A Guide to Finding the Limit of sin(bx)/x as x Approaches 0 Using L’Hôpital’s rule

lim x->0 sinbx/x To find the limit of the function sin(bx)/x as x approaches 0, we can use L’Hôpital’s rule To find the limit of the function...

John Rhodes
July 7, 2023
Probability

Calculating Relative Frequency: A Step-by-Step Guide to Determining Event Probability

relative frequency Relative frequency, also known as empirical probability, is a ratio that compares the frequency of an event to the total number of observations or trials...

John Rhodes
July 7, 2023
Probability

Understanding and Calculating Frequency: A Comprehensive Guide for Mathematics, Physics, and Statistics

Frequency Frequency is a concept that is used in mathematics, physics, and statistics to describe the number of occurrences of a particular event or data point within...

John Rhodes
July 7, 2023
Probability

Understanding Sample Space in Probability Theory: Definition, Examples, and Importance of S in Probability Calculations

sample space In probability theory, a sample space refers to the set of all possible outcomes of a random experiment or process In probability theory, a sample...