have h := tendsto_rpow_atTop_nhds_zero_of_norm_lt_one (inv_pos.mpr this) (inv_lt_one x_gt_one) C
x : ℝ
x_gt_one : 1 < x
C : ℝ
this : 0 < x
⊢ Tendsto (fun σ => x ^ σ * C) atBot (𝓝 0)
x : ℝ
x_gt_one : 1 < x
C : ℝ
this : 0 < x
h : Tendsto (fun σ => x⁻¹ ^ σ * C) atTop (𝓝 0)
⊢ Tendsto (fun σ => x ^ σ * C) atBot (𝓝 0)