Monotonicity results of ratio between two normalized remainders of Maclaurin series expansion for square of tangent function

In the paper, in view of the monotonicity rule for the ratio between two Maclaurin power series and by virtue of establishment of a monotonicity result for a sequence involving the ratio between two Bernoulli numbers, the authors investigate the monotonicity of the ratio between two normalized remainders of the Maclaurin power series expansion for the square of the tangent function.