JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow a}}\left\{\left[\left(\frac{a^{1 / 2}+x^{1 / 2}}{a^{1 / 4}-x^{1 / 4}}\right)^{-1}\right.\right.\left.-\frac{2(a x)^{1 / 4}}{x^{3 / 4}-a^{1 / 4} x^{1 / 2}+a^{1 / 2} x^{1 / 4}-a^{3 / 4}}\right]^{-1}\left.-\sqrt{2}^{\log_4a}\right\}^8

is equal to

View answer and explanation

Correct option: C

a^2

Option C (a²) is correct because after simplifying the expression and substituting x=a, the limit evaluates to a².

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