What is the limit as x approaches-b of (((x+b)^7+(x+b)^{10}))/(4(x+b)) ?

The limit as x approaches-b of (((x+b)^7+(x+b)^{10}))/(4(x+b)) is 0

limit as x approaches-b of (((x+b)^7+(x+b)^{10}))/(4(x+b))

x \to - b lim \frac{( ( x + b ) ^{7} + ( x + b ) ^{10} )}{4 ( x + b )}

0

Solution steps

x \to - b lim (\frac{( x + b ) ^{7} + ( x + b ) ^{10}}{4 ( x + b )})

Simplify

\frac{( x + b ) ^{7} + ( x + b ) ^{10}}{4 ( x + b )} : \frac{1}{4} (x + b)^{6} ((x + b)^{3} + 1)

= x \to - b lim (\frac{1}{4} (x + b)^{6} ((x + b)^{3} + 1))

Plug in the value

x = - b

= \frac{1}{4} (- b + b)^{6} ((- b + b)^{3} + 1)

Simplify

\frac{1}{4} (- b + b)^{6} ((- b + b)^{3} + 1) : 0

= 0

\frac{\partial}{\partial x} ((x + y)^{2} + (x + 1)^{2})

\int \frac{1}{2} sin^{2} (x) d x

\frac{\partial}{\partial x} (x + y^{2})

in v erse l a pl a ce \frac{3}{s ^{2} + 6 s + 10}

d er i v a t i v e 2 cos^{3} (t)

What is the limit as x approaches-b of (((x+b)^7+(x+b)^{10}))/(4(x+b)) ?
The limit as x approaches-b of (((x+b)^7+(x+b)^{10}))/(4(x+b)) is 0