John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Squeeze Theorem: Evaluating Limits Of Functions In Calculus | Sandwich Theorem Explained

Squeeze Theorem If f(x) ≤ g(x) ≤ h(x) for all x ̸= a and limx→a f(x) = limx→a h(x) = L, thenlimx→a g(x) = L The squeeze...

John Rhodes
June 21, 2023
Calculus

Continuity In Calculus: Importance And Types Explained

Continuity a function f(x) is continuous at a point x=a, ( if and only if ALL of these conditions hold true1) f(a) is defined 2) lim f(x)...

John Rhodes
June 21, 2023
Calculus

How The Intermediate Value Theorem (Ivt) Guarantees Continuity Of Mathematical Functions

Intermediate Value Theorem (IVT) If f is continuous on the closed interval [a,b] and k is any number between f(a) and f(b), then there is at least...

John Rhodes
June 21, 2023
Calculus

Mastering Indeterminate Forms: Techniques For Evaluating Limits In Math

indeterminate forms 0/0, ∞/∞, ∞*0, ∞ – ∞, 1^∞, 0⁰, ∞⁰ Indeterminate forms are specific types of limits that cannot be determined by simply substituting the value...

John Rhodes
June 21, 2023
Probability

Probability And The Likelihood Of Events

the chance of something happening What is probability? The chance of something happening refers to the probability or likelihood of an event or outcome occurring in a...

John Rhodes
June 21, 2023
Probability

Non-Event Outcomes In Probability Theory: Examples And Importance

all other outcomes that are not the event What is the complement of an event? In probability theory, the term event refers to a specific outcome or...

John Rhodes
June 21, 2023
Probability

Certain Events In Probability Theory: Events With One Outcome

event with one outcome What is a simple event? An event with one outcome is a situation in which there is only one possible result or consequence....

John Rhodes
June 21, 2023
Probability

Probability Theory: Events With More Than One Outcome

event with more than one outcome What is a compound event? An event with more than one outcome is known as a random event or probabilistic event....