How to find the limit of LIM (π - x) Tan (x / 2) when x → π;, How to find the limit of LIM (π - x) Tan (x / 2) when x → π
The limit when Tan (x ^ 2) / 4 (x ^ 3) x tends to zero, it is better to have a process
lim(x→0)tan(x^2)/4(x^3)
=lim(x→0)(x^2)/4(x^3)
=lim(x→0)1/(4x)
=∞
When x tends to infinity, the limit of X * Tan (1 / x)
Let t = 1 / x, then t approaches 0
lim tan(t)/t
Because Tan (T) is equivalent to t, the limit of infinitesimal is 1