`lim_(xto0) (x^(4)(cot^(4)x-cot^(2)x+1))/((tan^(4)x-tan^(2)x+1))` is equal to
`lim_(xto0) (x^(4)(cot^(4)x-cot^(2)x+1))/((tan^(4)x-tan^(2)x+1))` is equal to
A. -1
B. 1
C. 0
D. none of these
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Correct Answer - A
`(x^(4)(cot^(4)x-cot^(2)x+1))/((tan^(4)x-tan^(2)x+1))`
`(x^(4)(1-tan^(2)x+tan^(4)x))/(tan^(4)x(tan^(4)x-tan^(2)x+1))=(x^(4))/(tan^(4)x),xne0`
`:." "underset(xto0)lim(x^(4)(cot^(4)x-cot^(2)x+1))/((tan^(4)x-tan^(2)x+1))=underset(xto0)lim(x^(4))/(tan^(4x))=1`
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