Evaluate limit as x approaches 2 of |x-2|

Take the limit of each term.
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Move the limit inside the absolute value signs.
Split the limit using the Sum of Limits Rule on the limit as approaches .
Evaluate the limits by plugging in for all occurrences of .
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Evaluate the limit of by plugging in for .
Evaluate the limit of which is constant as approaches .
Simplify the answer.
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Subtract from .
The absolute value is the distance between a number and zero. The distance between and is .
Evaluate limit as x approaches 2 of |x-2|

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Charlie Trom

Lucy Evel

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