Free Calculus Help-Calculus Limit Problems

Calculus Limit Problems

When solving calculus limit problems, there are many rules and formulas that you can use to help you. Below are some rules and formulas that are commonly used to solve calculus limit problems.

The limit of a constant

Some calculus limit problems try to trick you by asking you to find the limit of a function that is a constant. If f(x) is a constant, c, then the limit of f(x) is also the constant c, no matter what number x approaches.

The limit of two functions

Calculus limit problems can get more complicated when you have two functions to work with, f(x) and g(x). If we assume that:

Lim_(x→a) f(x) = A and Lim_(x→a) g(x) = B

Then:

Lim_(x→a) c ⋅ f(x) = c Lim_(x→a) f(x) = cA

The limit of a product of f(x) and a constant is the product of the constant and the limit of f(x)

Lim_(x→a)[f(x)+/-g(x)] = Lim _(x→a)f(x)+/-Lim_(x→a)g(x)= A+/-B

The limit of the sum of functions is the sum of each function's limit.

Lim_(x→a)[f(x)⋅g(x)] = Lim _(x→a)f(x) ⋅ Lim_(x→a)g(x)= AB

The limit of the product of functions is the product of each function's limit.

Lim_(x→a)[f(x)/g(x)] = Lim _(x→a)f(x)/Lim_(x→a)g(x)= A/B

Providing that B≠0, the limit of the quotient of functions is the quotient of each function's limit.

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