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

解

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

0

解答ステップ

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

簡素化

\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))

値を挿入する

x = - b

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

簡素化

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

= 0