To find a limit using the properties of limits rule. Knowing the properties of limits allows us to compute limits directly.
At each step clearly indicate the property being used.
Properties of limits worksheet with answers. Free calculus worksheets created with infinite calculus. For each of the following limits use the limit properties given in this section to compute the limit. However before we do that we will need some properties of limits that will make our life somewhat easier.
Graphically find the interval for which the function is continuous. Graphing a function or exploring a table of values to determine a limit can be cumbersome and time consuming. Unless stated otherwise no calculator permitted.
Properties of limits of functions in calculus properties of limits of functions in the form of theorems are presented along with some examples of applications and detailed solutions. So let s take a look at those first. If the limit does not exist explain why.
Test and worksheet generators for math teachers. Worksheet 1 2 properties of limits show all work. Figure out what kind of function you are dealing with in the list of function types below for example an exponential function or a logarithmic function click on the function name to skip to the correct rule substitute your specific function into the rule.
Find the indicated limit. When possible it is more efficient to use the properties of limits which is a collection of theorems for finding limits. Use your ti 83 84 to verify your responses.
A lim xa fx hx b 2 lim xa fx. If the limit does not exist explain why. 0 ap calculus ab.
Limits limits by direct evaluation limits at jump discontinuities and kinks limits at removable discontinuities. About this quiz worksheet the properties of limits are important to be familiar with in calculus. Unless stated otherwise no calculator permitted.
Printable in convenient pdf format. If it is not possible to compute any of the limits clearly explain why not. Worksheet 1 2 properties of limits show all work.
Find the indicated limit. Find the discontinuities if any for the given function. Given that lim 3 xa fx lim 0 xa gx lim 8 xa hx for some constant a find the limits that exist.
All worksheets created with infinite. This quiz worksheet will help you assess your understanding of them and let you put your skills. State whether they are removable nonremovable jump or nonremovable infinite.
Given that lim 3 x a f x lim 0 x a g x lim 8 x a h x for some constant a find the limits that exist. If f and g are two functions and both lim x a f x and lim x a g x exist then. A lim x a f x h x b 2 lim x a f x.
The time has almost come for us to actually compute some limits.