级数发散 meaning in Chinese

divergence of a series
divergence of series

Theorem 1 ( bounded sum test ) a series of nonnegative terms converges if and only if it ' s partial sums are bounded above
定理2 (比较审敛法)设和都是正项级数，且。若级数收敛，则级数收敛；反之，若级数发散，则级数发散。
Theorem 2 ( ordinary comparison test ) suppose that and are positive series , and . if the series converges , so does ; if the series diverges , so does the series
推论设和都是正项级数，如果级数收敛，且存在自然数，使得当时，有，则级数收敛；如果级数发散，且当时，有成立，则级数发散。
Definition the infinite series converges and has sum if the sequence of partial sums converges to , that is . if diverges , then the series diverges . a divergent series has no sum
定义如果级数的部分和数列有极限，即，则称无穷级数收敛，这时极限叫做这级数的和，并写成；如果没有极限，则称无穷级数发散。