Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mathematical Existence: Prohibitions On Division By Zero And Imaginary Numbers

Two ways a function can’t exist If a limit of a function is an unstable number and it keeps changing, such as sin (π/x) which forever oscillates...

John Rhodes
June 21, 2023
Calculus

Mastering Infinite Limits: Techniques For Evaluating Functions Approaching Infinity

Infinite limits lim ( x→ a) f(x) = ∞. is an infinite limit. This means that as x approaches zero, f(x) gets larger and larger. Examplelim (...

John Rhodes
June 21, 2023
Calculus

Vertical Asymptotes In Math: Definition, Equation, And Importance

Vertical asymptote whenever you have a limit in which x approaches a from the left or right or left and right and f(x) approaches positive or negative...

John Rhodes
June 21, 2023
Calculus

Mastering Limit Laws: Rules To Evaluate Limits Of Well-Behaved Math Functions

Limit laws Sum lawlim ( x→ a) [ f(x) + g(x) ] = lim ( x→ a) f(x) + lim ( x→ a) g(x)Difference lawlim ( x→...

John Rhodes
June 21, 2023
Calculus

The Greatest Integer Function: Definition, Properties, And Applications

Greatest integer function Basically ⌊x⌋ = the greatest INTEGER smaller or equal to xFor example:⌊4.8⌋ = 4 ⌊6.5⌋ = 6. ⌊π⌋= 3Also, the greatest integer function is...

John Rhodes
June 21, 2023
Calculus

How To Find Limits With The Squeeze Theorem In Math

Squeeze theory (AKA sandwich theory or pinch theory) for limit functions f(x) ≤ g(x). when x is near a (but possibly not a) thenlim (x → a)...

John Rhodes
June 21, 2023
Calculus

The Precise Definition Of Limits In Mathematics: The Behavior Of Functions As Inputs Approach A Point

Precise definition of a limit (ALSO, precise definition is also known as delta – epsilon limit or ε – &). if lim (x → a) f(x) =...

John Rhodes
June 21, 2023
Calculus

Function Rules: How To Describe Relationships Between Variables In Mathematics, Science, And Engineering.

Function Rule An algebraic expression that defines a function. A function rule is a mathematical expression that describes the relationship between the input (the independent variable) and...