John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

How To Remove Removable Discontinuity And Make A Function Continuous At A Point

f has a removable discontinuity at x=a lim x->a f(x) exists, but does not equal f(a) A removable discontinuity or a point discontinuity implies that the function...

John Rhodes
June 21, 2023
Calculus

Limits In Math: What Happens When The Left And Right Limits Don’T Match

if lim x->a+ f(x) =/= lim x->a- f(x) then… lim x->a f(x) doesn’t exist If the limit of the function f(x) from the right side as x...

John Rhodes
June 21, 2023
Calculus

Discover How To Evaluate The Limit Of (Cosx – 1)/X As X Approaches 0 Using Trigonometric Identities And Sin(X)/X Method

lim x->0 (cosx-1)/x 0 To evaluate this limit, we can simplify the expression using trigonometric identities. Recall that cos(0) = 1, so substituting x = 0 directly...

John Rhodes
June 21, 2023
Calculus

How To Solve 0 ⋅ ∞ Indeterminate Forms In Calculus: Techniques And Examples

to find the limit of a 0 ⋅ ∞ indeterminate form… rewrite expression as 0/0 or ∞/∞, then apply L’Hopital’s rule To find the limit of a...

John Rhodes
June 21, 2023
Calculus

Solving Indeterminate Quotient Forms In Calculus: L’Hôpital’S Rule Explained

indeterminate forms (quotient) 0/0 and ∞/∞ In calculus, an indeterminate form is a mathematical expression involving a limit that can’t be evaluated just by applying algebraic rules...

John Rhodes
June 21, 2023
Geometry

How To Master Geometry: The Importance Of Auxiliary Lines In Problem Solving

auxiliary line an extra line drawn in a figure to reveal hidden structure An auxiliary line is an additional line drawn in a geometric figure or diagram...

John Rhodes
June 21, 2023
Geometry

Exploring The Properties, Examples And Uses Of Parallelograms In Math, Carpentry, Navigation And Architecture

parallelogram A quadrilateral in which pairs of opposite sides are congruent A parallelogram is a 2D geometrical shape that falls under the category of quadrilaterals (a four-sided...

John Rhodes
June 21, 2023
Geometry

The Meaning Of Converse In Logic And Math: Switching Subject And Predicate

converse The converse of an if-then statement is the statement that interchanges the hypothesis and the conclusion The term converse can mean a few different things depending...