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Find $\lim _{x \rightarrow 5} f(x)$, where $f(x)=|x|-5$
5
Calculus 1 / AB
Chapter 13
Limits and Derivatives
Section 1
Introduction
Limits
Missouri State University
Oregon State University
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in this problem let us rewrite our function F X. If X is equal stew X of minus five. Access greater than equal to zero and minus x minus five when access less than And we have to find a limit of fx When X is approaching five. Let us first find out right inside of the limit. So the left hand side of the limit satisfy minus ethics. The function effects that will choose her as X -5. So this is nothing but limit. My -1 -5 which is nothing but 5 -5 which is zero. And this is limit extends to fight. This is the right hand side of the limit. Again, the effects that will choose her is X -5. So this is nothing but lemon Extends to five years X -5 which is against you. Since both the limits left and the right hand limit are equal and not seem limit extends to five FX exists and as equals two. Not so.
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