Mathematics | Senioritis

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...

John Rhodes
June 21, 2023
Calculus

Continuity In Mathematics: Exploring The Concept Of Consistency In Function Behavior

Continuity lim x->C = lim x->C+ = lim x->C- = f(c) Continuity is a mathematical concept that refers to the idea that a function maintains a consistent...

John Rhodes
June 21, 2023
Calculus

Discontinuity In Mathematics: Types And Importance In Calculus And Beyond

Discontinuity jump, hole/removable, ∞, oscillating Discontinuity is a term used in mathematics to describe a point at which the function is undefined or behaves differently than it...

John Rhodes
June 21, 2023
Calculus

The Intermediate Value Theorem (Ivt) In Calculus: Proof Of Existence Of Roots For Continuous Functions

Intermediate Value Theorem (IVT) If f(x) is continuous on the closed interval [a,b], then f(x) will take on every value between f(a) and f(b) The Intermediate Value...