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Why can't the 1/(3x) be replaced with 0? Reddit calculus limit r/calculus

bprp calculus basics 461,531 12 months ago
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When we evaluate the limit of (1+1/(3x))^x as x goes to infinity, why can't we replace 1/(3x) with 0 and just say (1+0)^inf? The answer is "we have to be careful" because we will get the indeterminate form of 1^inf here. This limit question is from Reddit r/calculus. Get your indeterminate cat t-shirt: 👉 https://amzn.to/3qBeuw6 Subscribe to @bprpcalculusbasics for more calculus tutorials. Original post https://www.reddit.com/r/calculus/s/ZpwsH9bBwp ----------------------------- Support this channel and get my calculus notes on Patreon: 👉 https://www.patreon.com/blackpenredpen Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ----------------------------- #calculus #bprpcalculus #apcalculus #tutorial #math

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