Question

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Answer 1

$1)quad limlimits _{x to 0} frac{sin^23x}{xtg(4x)} = limlimits _{x to 0} frac{(3x)^2}{xcdot 4x} = limlimits _{x to 0} frac{9x^2}{4x^2} =frac{9}{4}\\2)quad limlimits _{x to frac{pi}{36}} frac{1-2cos(36x)}{3cdot 36x-pi } =[; 1-2cos(36cdot frac{pi}{36})=1-2underbrace{cospi }_{-1}=3; ;\\3cdot 36cdot frac{pi}{36}=3pi ; ]=frac{3}{3}=1$