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in other words, the error is just about 0.01% !!

for the range of x for which the expansion is valid,

x<-sqrt(2) will result in square root of negative number.

in the topic of complex numbers in H2 maths, you learn about square root of negative numbers. sometimes you do have questions that involves mixed topics.

for this case here, we take it that we cannot have square root of negative numbers, so we should reject x<-sqrt(2), and state that the expansion is valid only for x>+ sqrt(2).