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Find an example of a function such that the limit exists at every x, but that has an in nite number of discontinuities. (You can describe the function and/or write a
Notice that the limits on this worksheet can be evaluated using direct substitution, but the purpose of the problems here is to give you practice at using the Limit Laws.
Limits. Basic. Divergence. 1.\:\:\lim _ {x\to 0} (\frac {1} {x}) 2.\:\:\lim _ {x\to 5} (\frac {10} {x-5}) 3.\:\:\lim _ {x\to 1} (\frac {x} {x-1}) 4.\:\:\lim _ {x\to -2} (\frac {1} {x+2}) 5.\:\:\lim _ {x\to 5} (\frac {x} {x^2-25}) 6.\:\:\lim _ {x\to 2}\frac {|x-2|} {x-2}
12) Give an example of a limit of a quadratic function where the limit evaluates to 9. Worksheet by Kuta Software LLC. Kuta Software - Infinite Calculus.
AP Calculus AB – Worksheet 8 Failing Limits; Properties of Limits Let b and c be real numbers, let n be a positive integer, and let f and g be functions with the following limits: f x L g x Mlim and lim
Worksheet # 4: Basic Limit Laws 1. Given lim x!2 f(x) = 5 and lim x!2 g(x) = 2, use limit laws (justify your work) to compute the follow-ing limits. Note when working through a limit problem that your answers should be a chain of equalities. Make sure to keep the lim x!a operator until the very last step. (a) lim x!2 2f(x) g(x) (b) lim x!2 f(x ...
Calculating Limits Using the Limit Laws. Worksheet. Fall 2005. Is it possible for limx→a[f(x) · g(x)] even if lim f(x) and limx→a g(x) do. x→a. not exist? The graphs of f and g are given below. fHxL. gHxL. 2. -3 -2 -1 -1. 2 3 x. -3 -2 -1 1 2 3 x -1. In each case, evaluate the expression. If the limit does not exist, say why. lim [f(x) x→0.
