Question

Va rog frumos ex 4 multe puncte ofer

Answer 1

Răspuns:

Explicație pas cu pas:

a)

=[( -11/8) :(-11/8) - (7/2):7/4 ]²⁰¹¹

= [ -11/8*(-8/11)-(7/2*4/7)]²⁰¹¹

= (1-2)²⁰¹¹

= (-1)²⁰¹¹

= -1

-

b)

1/2²+1/3²+1/4²+......+1/2011²<2010/2011

=1/(2*2)+1/(3*3)+1/(4*4)+...+1/(2011*2011)

1/(2*2)+1/(3*3)+1/(4*4)+ ....+ 1/( 2011*2011) <1/(1*2)+1/(2*3)+1/(3*4)+...+1/(2010*2011)

1/2²+1/3²+1/4²+....+1/2011²< ²⁰¹¹⁾1- 1/2011

1/2²+1/3²+1/4²+.......+1/2011²< 2011/2011-1/2011

1/2²+1/3²+1/4²+....+ 1/2011² < 2010/2011