okay, so I'm at the most elementary stage of learning limits and there are things which leave me baffled at times, namely two.(adsbygoogle = window.adsbygoogle || []).push({});

1. lim (x -> a) f(x) = lim (x+k -> a+k) f(x)

how? the physical reason behind this?

2. the theorem to evaluate limits of the form --- 1^infinity

if f(x)=g(x)=0 (lim: x->a)

that is,

lim (x -> a) [1+f(x)]^{1/g(x)} =

e^{lim x -> a. f(x)/g(x))

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# Limits? changing and transformation

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