File: coth

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NAME
    coth - hyperbolic cotangent

SYNOPSIS
    coth(x [,eps])

TYPES
    x           nonzero real
    eps         0 < real < 1, defaults to epsilon()

    return      real

DESCRIPTION
    Calculate the coth of x to a multiple of eps with error less in
    absolute value than .75 * eps.

    coth(x) = (exp(2*x) + 1)/(exp(2*x) - 1)

EXAMPLE
    ; print coth(1, 1e-5), coth(1, 1e-10), coth(1, 1e-15), coth(1, 1e-20)
    1.31304 1.3130352855 1.313035285499331 1.31303528549933130364

LIMITS
    0 < eps < 1

LINK LIBRARY
    NUMBER *qcoth(NUMBER *x, NUMBER *eps)

SEE ALSO
    sinh, cosh, tanh, sech, csch
    asinh, acosh, atanh, acoth, asech, acsch
    epsilon

## Copyright (C) 1999,2023  Landon Curt Noll
##
## Calc is open software; you can redistribute it and/or modify it under
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## Calc is distributed in the hope that it will be useful, but WITHOUT
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##
## A copy of version 2.1 of the GNU Lesser General Public License is
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## 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.
##
## Under source code control:   1995/11/13 03:49:00
## File existed as early as:    1995
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## chongo <was here> /\oo/\     http://www.isthe.com/chongo/
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