Question

Please write code using MATLAB

(4pts) Use the limit function to compute the following limits a) lim b) compute the limit lim-, vIn! a*-1 d) compute the limit lim c) lim xsin (use the factorial function in 'b')

Answer 1

(a)

syms x

% define the function

f = 1 / ( 1 + ( 2 ^ ( -1 / x ) ) );

% use the limit function to calculate limit x->0

val = limit( f, x, 0);

val

Sample Output

val =

NaN

(b)

syms x n

% define the function

f = n / ( factorial(n) ^ ( 1 / n ) );

% use the limit function to calculate limit x->0

val = limit( f, n, inf);

val

Sample Output

val =

exp(1)

(c)

syms x d

% define the function

f = x * sin( d / x );

% use the limit function to calculate limit x->0

val = limit( f, x, inf);

val

Sample Output

val =

d

(d)

syms x a

% define the function

f = ( ( a^ x ) - 1 ) / x;

% use the limit function to calculate limit x->0

val = limit( f, x, 0);

val

Sample Output

val =

log(a)