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9 Οκτ 2023 · Solution. Use the Squeeze Theorem to determine the value of lim x→0x4sin(π x) lim x → 0. . x 4 sin. . (π x). Solution. Here is a set of practice problems to accompany the Computing Limits section of the Limits chapter of the notes for Paul Dawkins Calculus I course at Lamar University.
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.
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.
AP Calculus AB – Worksheet 14 Continuity - Removable For questions 1 & 2, a) Determine the x-coordinate of each discontinuity on the graph of fx . b) Identify each discontinuity as either removable or jump. c) Evaluate the limit at each discontinuity. d) State the interval(s) on which is continuous. 1. 2.
Practice Problems on Limits and Continuity 1 A tank contains 10 liters of pure water. Salt water containing 20 grams of salt per liter is pumped into the tank at 2 liters per minute. 1. Express the salt concentration C(t) after t minutes (in g/L). 2. What is the long-term concentration of salt, i.e., limt!¥ C(t)? Solution: 1.
Critical thinking questions: 11) Give an example of a limit that evaluates to 4. Many answers. Ex: lim x. x→4. Name___________________________________. Date________________ Period____. 2) lim ( − x + 2) 5.
