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