2022-03-18
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nick1337

Answered 2022-05-08
Author has **575** answers

First, I know that the pair of triangles in A are congruent by Side by Angle by Side or SAS Congruence Postulate. Hence, triangle YZX is congruent to triangle YZW

Second, I also know that the pair of triangles in B are congruent by Angle by Side by Angle or ASA Congruence Postulate. Hence, triangle CAT is congruent to triangle CRT

Lastly, the pair of triangles in C, are congruent by Side by Side by Side or SSS Congruence Postulate. Hence, triangle ADU is congruent to triangle USA

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I need to prove the limit using the definition of limit

$\underset{x\to c}{lim}f(x)=L\leftrightarrow \mathrm{\forall}\u03f5>0\phantom{\rule{0.5cm}{0ex}}\mathrm{\exists}\delta >0:0<|x-c|<\delta \to |f(x)-L|<\u03f5$

$\underset{x\to c}{lim}f(x)=L\leftrightarrow \mathrm{\forall}\u03f5>0\phantom{\rule{0.5cm}{0ex}}\mathrm{\exists}\delta >0:0<|x-c|<\delta \to |f(x)-L|<\u03f5$