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based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


represents a quantity with infinite magnitude, but undetermined complex phase.
Division by 0:
Division by 0:
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Use ComplexInfinity in numerical functions:
ComplexInfinity absorbs finite real, complex, and symbolic quantities:
Do arithmetic with ComplexInfinity:
Use ComplexInfinity as an expansion point for series:
Set up a seemingly "analytic" function that is infinite in the whole left half-plane:
Plotting shows details of the numerical calculation:
Asymptotics of the LogGamma function at ComplexInfinity:
Use Quiet to suppress messages:
ComplexInfinity can be generated by Simplify and FullSimplify:
ComplexInfinity has indeterminate real and imaginary parts:
ComplexInfinity is not a number:
Obtain ComplexInfinity from limits:
ComplexInfinity behaves like a constant in differentiation:
ComplexInfinity is not a numeric quantity:
ComplexInfinity is a symbol with infinite precision:
Use ComplexInfinity with care in boundary conditions of differential equations:
Infinite arguments of undetermined phase in all elementary functions:
Behavior of the exponential function at ComplexInfinity shown on the Riemann sphere:
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