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fricas
(1) -> 1/sqrt(x^2 + 1) - sqrt(x^2 + 1)/(x^2 + 1)

\label{eq1}0(1)
Type: Expression(Integer)
fricas
limit(1/sqrt(x^2 + 1),x=%i)

\label{eq2}\begin{array}{@{}l}
\displaystyle
\left[{leftHandLimit = \verb#"failed"#}, \: \right.
\
\
\displaystyle
\left.{rightHandLimit ={+ \infty}}\right] 
(2)
Type: Union(Record(leftHandLimit: Union(OrderedCompletion?(Expression(Complex(Integer))),"failed"),rightHandLimit: Union(OrderedCompletion?(Expression(Complex(Integer))),"failed")),...)
fricas
limit(sqrt(x^2 + 1)/(x^2 + 1),x=%i)

\label{eq3}\verb#"failed"#(3)
Type: Union("failed",...)




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