Expression 4: "f" left parenthesis, "x" , right parenthesis equals StartFraction, StartAbsoluteValue, "x" , EndAbsoluteValue plus "x" Over 2 StartAbsoluteValue, "x" , EndAbsoluteValue , EndFractionfx=x+x2x
4
Expression 5: Start sum from "n" equals 1 to 100, end sum, "f" left parenthesis, "x" minus "p" left bracket, "n" , right bracket , right parenthesis left brace, "x" greater than 0 , right brace100∑n=1fx−pnx>0
5
Expression 6: Start sum from "n" equals 1 to 100, end sum, "f" left parenthesis, "x" minus "p" left bracket, "n" , right bracket , right parenthesis plus Start sum from "k" equals 2 to 9, end sum, Start sum from "n" equals 1 to 10, end sum, StartFraction, "f" left parenthesis, "x" minus "p" left bracket, "n" , right bracket Superscript, "k" , Baseline , right parenthesis Over "k" , EndFraction left brace, "x" greater than 0 , right brace100∑n=1fx−pn+9∑k=210∑n=1fx−pnkkx>0
6
Expression 7: Start integral from 2 to "x" , end integral, StartFraction, log "e" Over log "t" , EndFraction "d" "t" minus Start sum from "n" equals 1 to 100, end sum, "f" left parenthesis, "x" minus "p" left bracket, "n" , right bracket , right parenthesis minus Start sum from "k" equals 2 to 9, end sum, Start sum from "n" equals 1 to 10, end sum, StartFraction, "f" left parenthesis, "x" minus "p" left bracket, "n" , right bracket Superscript, "k" , Baseline , right parenthesis Over "k" , EndFraction left brace, 2 less than "x" , right brace∫x2logelogtdt−100∑n=1fx−pn−9∑k=210∑n=1fx−pnkk2<x
