Limits

Limits
A limit is the value that a function or sequence "approaches" as the input or index approaches some value.
We say that the limit of is as approaches and write this as

Properties of the limit
If and are constants then
Let and then





Example 8: Find the following limits


Divide top and bottom by , then we get















Evaluate the limits


Limits
A limit is the value that a function or sequence "approaches" as the input or index approaches some value.
We say that the limit of is as approaches and write this as

Properties of the limit
If and are constants then
Let and then





Example 8: Find the following limits


Divide top and bottom by , then we get










Limits
A limit is the value that a function or sequence "approaches" as the input or index approaches some value.
We say that the limit of is as approaches and write this as

Properties of the limit
If and are constants then
Let and then





Example 8: Find the following limits


Divide top and bottom by , then we get















Evaluate the limits








Evaluate the limits