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How do you find the complex conjugate of #3 + 1i#?

Answer 1

The complex conjugate of #3+1i# is #3-1i#

A number that has a real component equal to the original number and an imaginary component of the same magnitude but opposite sign is called its complex conjugate.

#color(red)("real")+color(blue)("imaginary")#

# color(red)(3)+color(blue)(1i)#

So the complex conjugate is #color(red)(3) + color(blue)((-1i)) = color(red)(3)color(blue)(-1i)#

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Answer 2

Chloe Alexander

To find the complex conjugate of 3 + 1i, simply change the sign of the imaginary part. So, the complex conjugate of 3 + 1i is 3 - 1i.

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Answer from HIX Tutor

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.