Question

lim log x

𝑥→1

x ,0.5, 0.9 ,0.99 ,0.999

f(x),__,__,____,_______,

x ,1.5 ,1.01 ,1.001, 1.0001

f(x),__,__,____,_______,

Answer 1

x: 0.5, 0.9 ,0.99 ,0.999

f(x): -0.301, -0.048, -4.4*10^-3, -4.3*10^-4

x: 1.5, 1.01, 1.001, 1.0001

f(x): 0.176, 4.3*10^-3, 4.3*10^-4, 4.3*10^-5

Answer: $\lim\limits_{x\to1}logx=0$