limit as s approaches 0 of sk/(s(s/5+1)*(\frac{s){50}+1)}

解

s \to 0 lim (s \cdot \frac{k}{s \cdot ( \frac{s}{5} + 1 ) \cdot ( \frac{s}{50} + 1 )})

k

解答ステップ

s \to 0 lim (s \frac{k}{s ( \frac{s}{5} + 1 ) ( \frac{s}{50} + 1 )})

簡素化

s \frac{k}{s ( \frac{s}{5} + 1 ) ( \frac{s}{50} + 1 )} : \frac{250 k}{( s + 5 ) ( s + 50 )}

= s \to 0 lim (\frac{250 k}{( s + 5 ) ( s + 50 )})

値を挿入する

s = 0

= \frac{250 k}{( 0 + 5 ) ( 0 + 50 )}

簡素化

= k