please help. will give brainliest! review the table of values for function p(x). what is lim (x -14) p(x), if it exists? (table and answer options pictured)
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Answer:
DNE
Step-by-step explanation:
The the given table, we have;
As x approaches -14 from the left, at x = -14.001, p(x) = 1.96
[tex]\lim \limits _{x \to -14^{-}} p(x) = 1.96[/tex]
As x approaches -14 from the right, at x = -13.999, p(x) = 1.97
[tex]\lim \limits _{x \to -14^{+}} p(x) = 1.97[/tex]
The value of p(x) when x = -14 is [tex]\lim \limits _{x \to -14} p(x)[/tex] = Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;
[tex]\lim \limits _{x \to -14} p(x)[/tex] Does Not Exist, DNE.