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Popular >

limit as s approaches 0 of (-1/s}{1+(3+\frac{13)/s)(7/(xs+1))}

Solution

s \to 0 lim (\frac{- \frac{1}{s}}{1 + ( 3 + \frac{13}{s} ) ( \frac{7}{x s + 1} )})

Solution

- \frac{1}{91}

+1

Decimal

- 0.01098 \dots

Solution steps

s \to 0 lim (\frac{- \frac{1}{s}}{1 + ( 3 + \frac{13}{s} ) \frac{7}{x s + 1}})

Simplify

\frac{- \frac{1}{s}}{1 + ( 3 + \frac{13}{s} ) \frac{7}{x s + 1}} : - \frac{s x + 1}{s ^{2} x + 22 s + 91}

= s \to 0 lim (- \frac{s x + 1}{s ^{2} x + 22 s + 91})

Plug in the value

s = 0

= - \frac{0 \cdot x + 1}{0 ^{2} x + 22 \cdot 0 + 91}

Simplify

- \frac{0 \cdot x + 1}{0 ^{2} x + 22 \cdot 0 + 91} : - \frac{1}{91}

= - \frac{1}{91}

Graph

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Frequently Asked Questions (FAQ)

What is the limit as s approaches 0 of (-1/s}{1+(3+\frac{13)/s)(7/(xs+1))} ?
The limit as s approaches 0 of (-1/s}{1+(3+\frac{13)/s)(7/(xs+1))} is -1/91