At any point x = a, the limit of this polynomial function is Here, a 0, a 1, …, a n are all constants. Limit of Polynomial FunctionĬonsider a polynomial function, f(x) = a 0 + a 1x + a 2x 2 + … + a nx n. Limit of product of a function p(x) with a constant, q(x) = α is α times the limit of p(x).Limit of quotient of two functions is the quotient of the limits of the functions.Limit of product of two functions is the product of the limits of the functions.Limit of the difference of two functions is the difference of the limits of the functions.

Limit of the sum of two functions is the sum of the limits of the functions.Let p and q be two functions such that their limits lim x→a p(x) and lim x→a q(x) exist. lim x→a x n = a n, if n is a positive integer.lim x→a c = c, where c is a constant quantity.You can download Limits and Continuity Cheat Sheet by clicking on the download button below Sandwich Theorem and Trigonometric Functions.Browse more Topics under Limits And Derivatives

The value of a limit of a function f(x) at a point a i.e., f(a) may vary from the value of f(x) at ‘a’. Limits of functions at a point are the common and coincidence value of the left and right-hand limits.

The points to the right of a point ‘a’ which shows the value of the function is the right-hand limit of the function at that point.

The expected value of the function shown by the points to the left of a point ‘a’ is the left-hand limit of the function at that point.

The value, a function attains, as the variable x approaches a particular value say a, i.e., x → a is called its limit.

Limit zero over zero