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(p [This paragraph contains this equation: ,(eq :inline? #t '(/ alpha
beta)). This is actually an ,(emph [inline]) equation, meaning that it
occurs within a paragraph. Typesetting has to be adjusted
accordingly.])
(eq-display
(p [This is an equation display block, within which equations can be
aligned with one another.])
(eq :ident "eq-limit-b-over-l"
:renderer 'lout
:align-with '=
'(= (limit (/ lambda beta) 0
(apply IPL n k))
;; non-simplified
(/ (expt (+ alpha beta) k)
(* beta
(sum :from (= x 0)
:to (- k 1)
(* (combinations k x)
(expt beta (- k 1 x))
(expt alpha x)))))))
[This equation can be simplified as follows:]
(eq :ident "eq-limit-b-over-l-simplified"
:renderer 'lout
:align-with '=
'(= ;; simplified
(/ (expt (+ alpha beta) k)
(- (expt (+ alpha beta) k)
(expt alpha k)))
(limit (/ lambda beta) 0
(apply IPL n k)))))
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