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anonymous
 one year ago
Find the indicated limit, if it exists.
limit of f of x as x approaches negative 10 where f of x equals negative 4 minus x when x is less than negative 10, 6 when x equals negative 10, and x plus 16 when x is greater than negative 10
anonymous
 one year ago
Find the indicated limit, if it exists. limit of f of x as x approaches negative 10 where f of x equals negative 4 minus x when x is less than negative 10, 6 when x equals negative 10, and x plus 16 when x is greater than negative 10

This Question is Closed

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 10} f(x) \\ f(x)=\left(\begin{matrix} x4 , x<10 \\ 6, x=10 \\ x+16, x>10 \end{matrix}\right)\] is this right? also pretend that isn't a matrix didn't know how to write a piecewise function in latex or i just keep forgetting how

freckles
 one year ago
Best ResponseYou've already chosen the best response.0You need to find both the left and right limit.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0that is you need to evaluate both: \[\lim_{x \rightarrow 10^}f(x) =\lim_{x \rightarrow 10^}(x4) \\ \\ \text{ and } \\ \lim_{x \rightarrow 10^+} f(x)=\lim_{x \rightarrow 10^+}(x+16)\] if both of these are the same and they exist then your original limit you asked about exists and it it whatever the left and right limit equal if they are not equal then the original limit does not exist

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@freckles Would the answer be Does Not Exist?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, was working through other problems.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0well what did you get for the left and right limit? if they are not equal then you are right.

freckles
 one year ago
Best ResponseYou've already chosen the best response.0104=14 10+16=6 left limit as x approaches 10=14 right limit as x approaches 10=6 since 14 doesn't equal 6 then the limit does not exist

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh got it, thank you! Could you help me with a couple others? @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.0post another question just in case but I think I can
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