nomor 10 gimana yaaa

f(x) = √(x + 1) + √x
1/f(2) = 1/(√(2 + 1) + √2)
= 1/(√3 + √2) . (√3 - √2)/(√3 - √2) = (√3 - √2)/(3 - 2) = √3 - √2

Dengan cara yang sama diperoleh :
1/f(3) = √4 - √3
1/f(4) = √5 - √4

Jadi
1/f(2) + 1/f(3) + 1/f(4) + .... + 1/f(2016)
= (√3 - √2) + (√4 - √3) + (√5 - √4) + .... + (√2017 - √2016)
= -√2 + √2107
= √2017 - √2