exact (continuous_id.const_cpow (.inl hx0)).tendsto 0
  |>.div (tendsto_const_nhds.add tendsto_id) (by norm_num)
case hf.refine_2
x✝ σ σ' σ'' T : ℝ
α : Type u_1
β : Type u_2
inst✝³ : LinearOrder β
inst✝² : NoMaxOrder β
inst✝¹ : TopologicalSpace β
inst✝ : ClosedIciTopology β
y : β
l : Filter α
x : ℝ
xpos : 0 < x
hx0 : ↑x ≠ 0
⊢ Tendsto (fun x_1 => ↑x ^ x_1 / (1 + x_1)) (𝓝 0) (𝓝 (↑x ^ 0 / (1 + 0)))
no goals