Question

Use MuPAD to compute the following limits.

Answer 1

We are required to find out the limits of the functions using MATLAB. In MATLAB we have the function limit (E, v, a, ‘d’) to calculate limits.

Here

E is the expression

v is the variable which is changing

a is the limit the variable tends to

d is the direction of approach

 

(a)

We have our first expression as 

lim_x→∞ x + 1/x

 

For this first example we will show how to put each argument in the function. Here

E = x + 1/x

v = x

a = ∞

 

There the value d is ignored as the limit is neither left-sided nor right-sided.

The screenshot of MATLAB window below shows the input and the output.

 

The correct answer as shown by MATLAB is 1.

 

(b)

We have our expression as

lim_x→∞ (3x³ – 2x)/(2x³ + 3)

 

The screen shot of MATLAB window below shows the input and the output.

 

The correct answer by MATLAB is 3/2

(a) The correct answer as shown by MATLAB is 1.

(b) The correct answer by MATLAB is 3/2