Limit of a Function
Cards (27)
- Limit : A point or level beyond which something does not or may not extend or pass.
- LIMIT is the foundation of Calculus
- Calculus is a branch of Mathematics that deals with the study of rate of change and dimensions
- DIFFERENTIAL CALCULUS : rate of change
- INTEGRAL CALCULUS : dimensions
- Limit is the value that a function approaches as the input approaches some value
- LIMIT is where we are to study the behavior of a function as it approaches or get closer to a specific value.
- The word calculus is a latin word, meaning originally “small pebble”
- Isaac Newton and Gottfried Wilhelm Leibniz discovered Calculus
- Calculus - Mathematical study of continuous change
- Differential Calculus - concerning rates of change and slopes of curves
- Integral Calculus - concerning accumulation of quantities and the areas under curves
- Euler's number - e meaning
- Leonhard Euler - discoverer of the e constant
- Limit of a constant - the limit of a constant is itself
- Limit of x as x approaches c - Limit of x as x approaches c is equal to c
- Constant Multiple Theorem - the limit of a multiple of a function is equal to the product of constant and limit of the function
- Addition/Subtraction Theorem - The limits of the sum of the function is equal to the sum of the limit of each function
- Multiplication Theorem - the limits of the product of the functions is equal to the product of the limit of each function
- Division Theorem - the limits of the quotient of the function is equal to the quotient of the limit of each function
- Power Theorem - The limits of the function to the power of n is equal to the limit of the function raised to the power of n
- Radical/Root Theorem - The limits of the nth root of the function is equal to the nth root of the limit of the function
- Calculus - a study of continuous change
- Infinite discontinuity - Interval involving infinity
- indeterminate - expression such as 0/0 is called
- 10 - The base of the common logarithm is
- logarithm, exponential, trigonometric - the three transcendental functions are