Hello,
When I solve the following limit at infinity by Maxima ,
the output is infinity.
limit((2*sqrt((x/2+1)^2-(cos(29*%pi/360)*x/2)^2)-
x*sin(29*%pi/360))/(%pi*cos(29*%pi/360)),x,inf);
To solve this limit,
we'll need the conjugate multiplication technique.
I multiplying the numerator and denominator
by the conjugate of the numerator and
after simplification:
limit((4*x+4)/(%pi*cos(29*%pi/360)*
(2*sqrt(x^2/4+x+1-x^2/4*cos(29*%pi/360)^2)+
x*sin(29*%pi/360))),
x, inf);
Now, the output is correct. (=2.62)
Why the answer of the first limit was " Infinity "?
Why Maxima could not solve this limit correctly?
Please see the attached file!
Thank you in advance.