Define the function f(x) = (x – 1) /( x ^32 – 1) in mathlab f(x) = (x-1)/(x32-1)

Question

Define the function f(x) = (x – 1) /( x ^32 – 1) in  

mathlab

f(x) = (x-1)/(x32-1) 1.2 3. Limits X-1 32-1 in Define the functionf(x)= Matlab, symbolically. 0.8 Use the subs function to evaluate fl1)3 You should find a division by zero error Use the subs function to evaluate f(x-1). 0.2 Comment out that line and find fx) Plot f(x) versus x for x on [0, 2]. Label your axes and draw vertical and lines through the curve at x 1 and label them. An example plot is shown to the right. 291 f(1)=1/32 0.2 0.2 0.4 0.6 0.8 12 1.416 1.8 2

Explanation / Answer

25/04/2018

The Advanced MAths problem is : Define the function f(x) = (x – 1) /( x ^32 – 1) in  mathlab --

Solution: As I do not MATLAB in my office PC, I am just doing the limit value of f(x) as x tends to 1

We know, x 2 -1 = (x-1) (x+1) so that limit of x tending to 1 for f(x)= (x-1)/( x 2 - 1)

= limit x tending to 1 of 1/(x+1) = ½.

This can be extended to limit x tending to 1 of f(x) = (x-1)/ (x3 - 1) = (x-1)/ ()/( x 2 + x + 1) = 1/3.

Thus, for f(x) = (x – 1) /( x ^32 – 1), the function approaches to 1/32 as x tends to 1.

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