John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

The Congruence Of Alternate Exterior Angles: A Proof For Parallel Lines Intersected By Transversals

alternate exterior angles are congruent if two parallel lines are cut by a transversal, then alternate interior angles are congruent Alternate exterior angles are angles that are...

John Rhodes
June 21, 2023
Calculus

Mastering The Squeeze Theorem To Evaluate The Limit Of Sin(Bx)/X

lim x->0 sinbx/x b To evaluate the limit: lim x -> 0 sin(bx)/x we will use the squeeze theorem. Note that sin(bx) is bounded between -1 and...

John Rhodes
June 21, 2023
Calculus

Evaluating The Limit Of Sinx/X As X Approaches 0 Using The Squeeze Theorem: A Comprehensive Guide

lim x->0 sinx/x 1 To evaluate the limit of sinx/x as x approaches 0, we can apply the squeeze theorem. The inequality: -1 ≤ sin(x) ≤ 1...

John Rhodes
June 21, 2023
Calculus

Easily Evaluate Limits Using Trigonometric Identity | Step-By-Step Guide

lim x->0 1-cosx/x 0 To evaluate this limit, we can use the following trigonometric identity: lim x->0 (1 – cosx)/x = lim x->0 2sin^2(x/2)/x We use this...

John Rhodes
June 21, 2023
Calculus

Mastering Limits As X Approaches Infinity: The Three Possible Outcomes And Methods For Evaluation

limits as x approaches infinity horizontal asymptotes When you consider limits as x approaches infinity, you are determining how the function behaves when the x-values become extremely...

John Rhodes
June 21, 2023
Calculus

Mastering Limits: A Polynomial Approach To Solving Math Problems

lim x->∞ pow top < pow bottom 0 To solve this limit, we must consider the behavior of the numerator and denominator as x approaches infinity. If...

John Rhodes
June 21, 2023
Calculus

How To Solve Limits With Power Functions Using Dividing Through By The Highest Power Of X?

lim x->∞ pow top = pow bottom coefficients In the given limit, we have a function in which the numerator and denominator both have some power functions....

John Rhodes
June 21, 2023
Calculus

How To Find The Limit Of A Polynomial Function As X Approaches Infinity: A Simplified Guide

lim x->∞ pow top > pow bottom ∞, -∞ In order to determine the limit of the function as x approaches infinity where the numerator is a...