Question

In: Math

What is the value of Expression below (i^14 + i^15 + i^16 + i^17)÷(i^20 + i^21 + i^22 + i^23)

What is the value of Expression below

(i^14 + i^15 + i^16 + i^17)÷(i^20 + i^21 + i^22 + i^23)

Solutions

Expert Solution

The Given Expression is

(i^14 + i^15 + i^16 + i^17 )÷(i^20 + i^21 + i ^22 + i^23)

In numerator take i^14 common and in denominator take i^20 common.

Then expression would be

i^14(1+ i + i^2 + i^3 ) ÷  i^20(1 + i + i^2 + i^3 )

If we commit a mistake of cancelling common terms in numerator and denominator,then value of Expression should be  -1.

But expression   1 + i + i^2 +i^3 = 1 + i + (-1) + (-i) = 0

Hence expression in question leading to undetermined form ( 0 ÷ 0)


The expression in  question leading to undetermined form (0 ÷0 )

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