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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.
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
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.
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}
Calculus: Limits and Asymptotes. Notes, examples, & practice quiz (with solutions) Topics include definitions, greatest integer function, strategies, infinity, slant asymptote, squeeze theorem, and more.
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The table above gives selected values and limits of the functions 𝑓𝑓, 𝑔𝑔, and ℎ. What is lim 𝑥𝑥→5 ℎ(𝑥𝑥) 𝑓𝑓(𝑥𝑥) + 2𝑔𝑔(𝑥𝑥) −ℎ(5) ? Example 4: Piecewise Functions . Piecewise defined functions and limits 𝑓𝑓(𝑥𝑥) = √11 −𝑥𝑥
