can you please explain this to me EXAMPLE 10Discuss then!SOLUTIONWe observe thatconvergencen (n-1) - 3.2.1.an=of the sequencen. (n-1).Then, since1/n → 0theorem) ano.n. (n-1).n² nOas♦2.ansince the numerator is less than or equal to the denominatorfor the quantity in parenthesis. Therefore3.2.1n.n.nan3.2-) = /1n• n • nn→D,n!/n", where² nwe have (by the squeeze

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EXAMPLE 10 Discuss the convergence n! SOLUTION We observe that n (n-1) 3.2.1. ... an ² of the sequence Then, since 1/n → 0 theorem) ano. n. (n-1). n n. (n-1) n. n . . as 2 ... an n - 3.2.1 • n • n •n 3 an since the numerator is less than or equal to the denominator for the quantity in parenthesis. Therefore • n (1 -). ÷ n n!/n", where ² n we have (by the squeeze )