Simplify [tex](1 -\frac{1}{2}) * (1 -\frac{1}{3}) * (1 -\frac{1}{4}) ... (1 -\frac{1}{2014}) = [/tex] Tolong Jawab Beserta Caranya

Question

Matematika Diposting : 2017-08-30 Diupdate : 2023-11-27 Umarrahman

Pertanyaan

Simplify [tex](1 -\frac{1}{2}) * (1 -\frac{1}{3}) * (1 -\frac{1}{4}) *...* (1 -\frac{1}{2014}) = [/tex]

Tolong Jawab Beserta Caranya

Answer 1

=1/2*2/3*3/4*4/5*...*2013/2014
=1*(1/2*2)*(1/3*3)*(1/4*4)*...*(1/2013*2013)*1/2014
=1*1*1*...*1/2014
=1/2014