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  <author_name>jurupapa</author_name>
  <author_url>https://blog.hatena.ne.jp/jurupapa/</author_url>
  <blog_title>Maxima で綴る数学の旅</blog_title>
  <blog_url>https://maxima.hatenablog.jp/</blog_url>
  <categories>
    <anon>数学</anon>
  </categories>
  <description>今回は関数の極限の証明を見ていきます。 $$\lim_{x\to 2} 2\,x = 4\hspace{20cm}$$ example : Tendsto (fun x:ℝ =&gt; 2*x) (𝓝 2) (𝓝 4) := by have cont_two_mul : Continuous (fun x : ℝ =&gt; 2 * x) := by exact continuous_const.mul continuous_id refine Continuous.tendsto' cont_two_mul 2 4 ?h -- ⊢ 2 * 2 = 4 linarith 証明するべきことは引数を２倍にする…</description>
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  <provider_name>Hatena Blog</provider_name>
  <provider_url>https://hatena.blog</provider_url>
  <published>2025-03-12 00:10:00</published>
  <title>-数学- Lean4のお勉強　簡単な関数の極限の証明</title>
  <type>rich</type>
  <url>https://maxima.hatenablog.jp/entry/2025/03/12/001000</url>
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