1-1/2+1/3-1/4+…+1/99-1/100将结果输出,该怎么解决

1-1/2+1/3-1/4+……+1/99-1/100将结果输出
#include<stdio.h>
void main()
{
 float sum=1.0,t,s=1;
 int i;
 for(i=1;i<=100;i++)
 {
  t=s/i;
  sum=sum+t;
  s=-s;
 }
 printf("1-1/2+1/3-1/4+……+1/99-1/100=%5.4f\n",sum);
}
为什么运行结果是1-1/2+1/3-1/4+......+1/99-1/100=  inf
------解决方案--------------------

// 1-1/2+1/3-1/4+......+1/99-1/100=

#include <stdio.h>

void main() {

    double sum=0.0,t,s=1.0;

    int i;


    for (i=1;i<=100;i++) {

        t=s/(double)i;

        sum=sum+t;

        s=-s;

        printf("%d %.15lg\n",i,sum);

    }

    printf("1-1/2+1/3-1/4+……+1/99-1/100=%.15lg\n",sum);

}

//1 1

//2 0.5

//3 0.833333333333333

//4 0.583333333333333

//5 0.783333333333333

//6 0.616666666666667

//7 0.759523809523809

//8 0.634523809523809

//9 0.745634920634921

//10 0.645634920634921

//11 0.736544011544012

//12 0.653210678210678

//13 0.730133755133755

//14 0.658705183705184

//15 0.72537185037185

//16 0.66287185037185

//17 0.721695379783615

//18 0.66613982422806

//19 0.718771403175428

//20 0.668771403175428

//21 0.716390450794476

//22 0.67093590533993

//23 0.714414166209495

//24 0.672747499542829

//25 0.712747499542829

//26 0.67428596108129

//27 0.711322998118327

//28 0.675608712404042

//29 0.710091471024731

//30 0.676758137691398

//31 0.709016202207527

//32 0.677766202207527

//33 0.708069232510557

//34 0.678657467804675

//35 0.707228896376103

//36 0.679451118598326

//37 0.706478145625353

//38 0.680162356151668

//39 0.705803381792694

//40 0.680803381792694

//41 0.705193625695133

//42 0.681384101885609

//43 0.704639915839098

//44 0.681912643111825

//45 0.704134865334047

//46 0.682395734899265

//47 0.703672330643946

//48 0.682838997310612

//49 0.703247160575918

//50 0.683247160575918

//51 0.702855003713173

//52 0.683624234482404

//53 0.702492159010706

//54 0.683973640492187

//55 0.702155458674006

//56 0.684298315816863

//57 0.701842175465985

//58 0.684600796155641

//59 0.701549948698013

//60 0.684883282031347

//61 0.701276724654297

//62 0.685147692396233

//63 0.701020708269249

//64 0.685395708269249

//65 0.700780323653864

//66 0.685628808502349

//67 0.700554181636677

//68 0.685848299283736

//69 0.700341052906925

//70 0.68605533862121

//71 0.700139845663464

//72 0.686250956774575