Is matlab not considering L Hospital's rule, while calculating limits? Becoz there r two different answers of the function f=(1 - (cos(x)))/((2* ((x^3)))* sin(x)).

Is matlab not considering L Hospital's rule, while calculating limits? Becoz there r two different answers of the function f=(1 - (cos(x)))/((2* ((x^3)))* sin(x)). Using matlab it is 'inf' and using L hospital rule by hand calculation, it is (-1/48). Which one is correct?

Answer 1

[Torsten]

Plot the function and you'll see that MATLAB's answer is correct.

The function behaves like 1/x^2 near x=0.

Best wishes

Torsten.

[Shivangi Chauhan]

But i solve by hand, without plotting the functions, i am getting different value (near to matlab value). Can i get exact same value?

[Torsten]

Which value are you talking about ?

(1-cos(x))/(2*x^3*sin(x)) ~ (1-(1-x^2/2))/(2*x^3*x) = 1/(4*x^2)

near x=0.

We have to see your calculations to point out the error you made.

Best wishes

Torsten.