57,272 views
14 votes
14 votes
59. If
\lim _(x \rightarrow 1) (f(x)-8)/(x-1)=10, find
\lim _(x\rightarrow1)f(x)\text{.}

User NickDelta
by
2.4k points

1 Answer

22 votes
22 votes

Answer:


\large\lim_(x\rightarrow 1) f\left( x\right)=8

Explanation:


\lim_(x\rightarrow 1) (f\left( x\right) -8)/(x-1) =10


\lim_(x\rightarrow 1) f\left( x\right) -8=10* \lim_(x\rightarrow 1)\left( x-1\right)


\lim_(x\rightarrow 1) f\left( x\right) -8=10*\left( (1)-1\right)


\lim_(x\rightarrow 1) f\left( x\right) -8=10*\left( 0\right)=0


\lim_(x\rightarrow 1) f\left( x\right) -8=0


\lim_(x\rightarrow 1) f\left( x\right) =8

User Betomoretti
by
2.5k points