Limit with the Inverse of ln(tan x)
Difficulty: Medium · Topics: Calculus, Limits, Inverse Functions
ln(tan x) ning teskarisi qatnashgan limit
Let g(x) be the inverse function of
f(x)=ln(tan x) where 0<x<(π)/(2).
Evaluate lim h→ 0(4g(8h)-π)/(h).
g(x) —
f(x)=ln(tan x), 0<x<(π)/(2)
funksiyaning teskari funksiyasi bo‘lsin. lim h→ 0(4g(8h)-π)/(h) ni hisoblang.