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Draggu
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Homework Statement
Evaluate.
lim |x+1|
x-> -1
Homework Equations
The Attempt at a Solution
Not too sure what |x+1| means. I think it has something to do with an absolute value... would the answer be 2 then?
NoMoreExams said:What's the definition of absolute value? The answer is def. not 2
Lchan1 said:derivative wouldn't exist at 0 since it's a corner.
Absolute values refer to the distance between a number and zero on a number line. It is always a positive value.
The limit at an absolute value refers to the value that a function approaches as the input value approaches a certain absolute value. It is written as "lim f(x) as x approaches a" and can be either a real number or infinity.
To find the limit at an absolute value, you can use the properties of limits, such as the sum, difference, product, and quotient properties. You can also use algebraic manipulation, substitution, or graphing to find the limit.
Limits at absolute values are important because they help us understand the behavior of a function at points where it is not defined or has a discontinuity. They also allow us to determine the continuity and differentiability of a function.
Yes, a limit at an absolute value can exist. It can either be a real number or infinity. However, it is possible for a limit at an absolute value to not exist if the function approaches different values from the left and right sides of the absolute value.