<caption><image_0>The image shows a man standing in front of a whiteboard with the text "UNIZOR.COM LIMITS" written on it. The man is wearing a light blue collared shirt and a green tie. He is looking directly at the camera with a serious expression on his face. Behind him, there is a bookshelf filled with books. The whiteboard appears to be in a library or study area.</caption><transcript><audio_1>hi i'm zor welcome to unizor education we continue the course of advanced mathematics for high school students it's presented on unizord.com and that's the website which uh i'm</transcript><transcript><audio_2>recommending you to listen to this lecture because it contains the notes for every lecture including this one and it helps you to basically follow the logic maybe much much much better now</transcript><transcript><audio_3>um today we will talk about the number e which i have introduced in the previous lecture as a function actually as a base</transcript><transcript><audio_4>the base of the function which which has a very important property um if you recall these exponential functions have a shape something like this with</transcript><caption><image_5>The image shows a man standing in front of a whiteboard in a classroom. He is wearing a white shirt and appears to be in the middle of a presentation. On the whiteboard, there is a graph or equation written in black marker. The equation is labeled "F(x) = (x)". The man is pointing to the graph with his right hand and is looking down at it. Behind him, there are bookshelves filled with books. The background is blurred, but it seems like the classroom is well-lit.</caption><transcript><audio_6>the base greater than one now um i have introduced the concept of a steepness</transcript> hi i'm zor welcome to unizor education we continue the course of advanced mathematics for high school students it's presented on unizord.com and that's the website which uh i'm recommending you to listen to this lecture because it contains the notes for every lecture including this one and it helps you to basically follow the logic maybe much much much better now um today we will talk about the number e which i have introduced in the previous lecture as a function actually as a base the base of the function which which has a very important property um if you recall these exponential functions have a shape something like this with the base greater than one now um i have introduced the concept of a steepness
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