NeuroEducation

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.