# I don't know how to find the restrictions on #"5(4x-2)"/" 8(2x-1)^2 "#?

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It's a power of 2 to that whole bracket.

It's a power of 2 to that whole bracket.

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To find the restrictions on the expression ( \frac{5(4x-2)}{8(2x-1)^2} ), we need to identify any values of ( x ) that would make the denominator equal to zero. This is because division by zero is undefined in mathematics. The denominator of the expression is ( 8(2x-1)^2 ), which equals zero when ( 2x-1 = 0 ). Solving this equation for ( x ), we get ( x = \frac{1}{2} ). Therefore, the expression is restricted when ( x = \frac{1}{2} ), as it would result in division by zero. Hence, the restriction on the expression is ( x \neq \frac{1}{2} ).

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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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