First of all, we observe the form of series and what function it belongs to; Then, according to the monotonicity of the function, it is judged whether the function converges.

èx |(2n+ 1) is an exponential function of x. According to the monotonicity of exponential function, when 0 < a < 1, the function monotonically decreases; When a > 1, the function increases monotonically.

Therefore, we need to compare x with 1. If it is greater than 1, it will increase monotonically and the series will diverge. If it is less than 1, it monotonically decreases, and the series converges and approaches zero. If it is equal to 1, the function value is fixed and convergent.