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## Homework Statement

Find the left hand limit and right hand limit for x--> 2 for the function

f(x) = 2x+1 if 0 ≤ x ≤ 2

7-x if 2 ≤ x ≤ 4

x if 4 ≤ x ≤ 6

## Homework Equations

Lim f(x) for x->2 = ?

## The Attempt at a Solution

I honestly don't know where to start please help me,ok we can answer the question by plugging 2 in first rule and finding LEFT hand limit,and plugging 2 in the 2nd rule and finding right hand limit...but i just couldn't find the logic behind this all method and also why didn't we use the third rule? please explain in layman terms as english is not my native language