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Euler's number as a limit - How to compute it
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Euler鈥檚 number, e, is famously known by its limit definition: the limit as x approaches infinity of (1 1/x)^x. Using calculus, let鈥檚 prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid! Can you spot the mistake in this proof? #math #calculus #proof | ElectricalMath
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Euler鈥檚 number, e, is famously known by its limit definition: the limit as x approaches infinity of (1 1/x)^x. Using calculus, let鈥檚 prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid! Can you spot the mistake in this proof? #math #calculus #proof | ElectricalMath
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ElectricalMath on Instagram: "Euler鈥檚 number, e, is famously known by its limit definition: the limit as x approaches infinity of (1 + 1/x)^x. Using calculus, let鈥檚 prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid! Can you spot the mistake in this proof? #math #calculus #proof"
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ElectricalMath on Instagram: "Euler鈥檚 number, e, is famously known by its limit definition: the limit as x approaches infinity of (1 + 1/x)^x. Using calculus, let鈥檚 prove that this limit is indeed e. But this seemingly legitimate proof is actually invalid! Can you spot the mistake in this proof? #math #calculus #proof"
432.2K views7 months ago
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