lim (x ⇒ ∞) x² arctg 1/x
lim (x ⇒0⁺) 2^x - 1 / 4^√x - 1
a)
b)
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a)![lim_{x \to \infty} x\frac{arctg(1/x)}{1/x} =\infty *1=\infty lim_{x \to \infty} x\frac{arctg(1/x)}{1/x} =\infty *1=\infty](https://tex.z-dn.net/?f=lim_%7Bx+%5Cto+%5Cinfty%7D+x%5Cfrac%7Barctg%281%2Fx%29%7D%7B1%2Fx%7D+%3D%5Cinfty+%2A1%3D%5Cinfty)
b)![2^x -1/4^{\sqrt{x}} -1 \to 1-1-1=-1 2^x -1/4^{\sqrt{x}} -1 \to 1-1-1=-1](https://tex.z-dn.net/?f=2%5Ex+-1%2F4%5E%7B%5Csqrt%7Bx%7D%7D+-1+%5Cto+1-1-1%3D-1)