$$\lim_{x \to \infty} \sqrt{\tan{\left(x \right)}}$$ $$\lim_{x \to 0^-} \sqrt{\tan{\left(x \right)}} = 0$$ More at x→0 from the left $$\lim_{x \to 0^+} \sqrt{\tan{\left(x \right)}} = 0$$ More at x→0 from the right $$\lim_{x \to 1^-} \sqrt{\tan{\left(x \right)}} = \sqrt{\tan{\left(1 \right)}}$$ More at x→1 from the left $$\lim_{x \to 1^+} \sqrt{\tan{\left(x \right)}} = \sqrt{\tan{\left(1 \right)}}$$ More at x→1 from the right $$\lim_{x \to -\infty} \sqrt{\tan{\left(x \right)}}$$ More at x→-oo