Creating a vector X with elements, Xn = (-1)n+1/(2n-1) and Adding up 100 elements of the vector, X; And, plotting the functions, x, x3, ex and exp(x2) over the interval 0 < x < 4 (by choosing appropriate mesh values for x to obtain smooth curves), on (A). A Rectangular Plot (B). A Semi log Plot (C). A log-log Plot

>> n=1:100;

>> x=((-1).^(n+1))./(2*n-1);

>> X=x

X =

  Columns 1 through 7

    1.0000   -0.3333    0.2000   -0.1429    0.1111   -0.0909    0.0769

  Columns 8 through 14

   -0.0667    0.0588   -0.0526    0.0476   -0.0435    0.0400   -0.0370

  Columns 15 through 21

    0.0345   -0.0323    0.0303   -0.0286    0.0270   -0.0256    0.0244

  Columns 22 through 28

   -0.0233    0.0222   -0.0213    0.0204   -0.0196    0.0189   -0.0182

  Columns 29 through 35

    0.0175   -0.0169    0.0164   -0.0159    0.0154   -0.0149    0.0145

  Columns 36 through 42

   -0.0141    0.0137   -0.0133    0.0130   -0.0127    0.0123   -0.0120

  Columns 43 through 49

    0.0118   -0.0115    0.0112   -0.0110    0.0108   -0.0105    0.0103

  Columns 50 through 56

   -0.0101    0.0099   -0.0097    0.0095   -0.0093    0.0092   -0.0090

  Columns 57 through 63

    0.0088   -0.0087    0.0085   -0.0084    0.0083   -0.0081    0.0080

  Columns 64 through 70

   -0.0079    0.0078   -0.0076    0.0075   -0.0074    0.0073   -0.0072

  Columns 71 through 77

    0.0071   -0.0070    0.0069   -0.0068    0.0067   -0.0066    0.0065

  Columns 78 through 84

   -0.0065    0.0064   -0.0063    0.0062   -0.0061    0.0061   -0.0060

  Columns 85 through 91

    0.0059   -0.0058    0.0058   -0.0057    0.0056   -0.0056    0.0055

  Columns 92 through 98

   -0.0055    0.0054   -0.0053    0.0053   -0.0052    0.0052   -0.0051

  Columns 99 through 100

    0.0051   -0.0050

>> Y=sum(x)

Y =

    0.7829

1)

>> plot(x)

 >>plot(x(1,1:4)) 

 

>>semilogx(x(1,1:4))

>>semilogy(x(1,1:4))

>>loglog(x(1,1:4))

2)

>> A=x.^2;

>> plot(A)

>> plot(A(1,1:4))

>>semilogx(A(1,1:4))

>>semilogy(A(1,1:4))

>>loglog(A(1,1:4))

3)

>> B=exp(x);

>> plot(B)

  

>> plot(B(1,1:4))

>>semilogx(B(1,1:4))

>>semilogy(B(1,1:4))

>>loglog(B(1,1:4))