# How do you find the limit of #absx/x# as #x->2^-#?

1

X tends to 2 from both sides as it moves.

which is

Since 2 is positive, the absolute value is irrelevant. However, when approaching positive 2, even if you approach from the bottom, the x value needs to be positive.

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To find the limit of abs(x)/x as x approaches 2 from the left (x->2^-), we can evaluate the expression by substituting the value of x into the function.

When x approaches 2 from the left, x becomes a very small positive number. Since the absolute value of any positive number is itself, we can rewrite the expression as abs(x)/x = x/x = 1.

Therefore, the limit of abs(x)/x as x approaches 2 from the left is 1.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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