What is the limit as s approaches 0 of s*k/(s*(s/5+1)*(\frac{s){50}+1)} ?

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

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

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

k

Solution steps

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

Simplify

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 )})

Plug in the value

s = 0

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

Simplify

= k

\frac{\partial}{\partial x} (x^{3} y^{5} + 9 x^{5} y)

\int \frac{1}{9} (4 - x^{2}) d x

y = x^{3} - x^{2} - 6 x, x

\frac{\partial}{\partial x} (y^{5} sin (5 x))

\frac{2 x ^{4} + 3 x ^{2} - 1}{x ^{2}}

What is the limit as s approaches 0 of s*k/(s*(s/5+1)*(\frac{s){50}+1)} ?
The limit as s approaches 0 of s*k/(s*(s/5+1)*(\frac{s){50}+1)} is k