# How do you simplify #(2i)/(1-i)# and write the complex number in standard form?

multilply by the conjugate of the denominator

that gives you

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To simplify (2i)/(1-i) and write the complex number in standard form, we multiply the numerator and denominator by the conjugate of the denominator, which is (1+i). This gives us:

(2i)/(1-i) * (1+i)/(1+i) = (2i + 2i^2)/(1^2 - i^2) = (2i - 2)/(1 + 1) = (2(i - 1))/2 = i - 1

So, (2i)/(1-i) simplifies to i - 1 in standard form.

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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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