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Intermediate Value Theorem Proof | Maths |Mad Teacher
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This video explains the proof of Bolzano's Intermediate Value Theorem in the most simple and easy way possible. The statement of the proof is explained using the figure description as well.
Statement:
Let, “𝐼” be an interval and let, 𝑓:𝐼→ℝ be continuous on 𝐼. If 𝑎,𝑏∈𝐼 and if 𝑘∈ℝ satisfies 𝑓(𝑎) less than 𝑘 less than 𝑓(𝑏), then there exists a point 𝑐∈𝐼 between "𝑎" and "𝑏" such that 𝑓(𝑐)=𝑘.
Statement with figure description: 1:22
Proof: 2:22
Continuity of function (epsilon-delta definition):
--------------------------------GIVEAWAY RULES-----------------------------------------------
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Statement:
Let, “𝐼” be an interval and let, 𝑓:𝐼→ℝ be continuous on 𝐼. If 𝑎,𝑏∈𝐼 and if 𝑘∈ℝ satisfies 𝑓(𝑎) less than 𝑘 less than 𝑓(𝑏), then there exists a point 𝑐∈𝐼 between "𝑎" and "𝑏" such that 𝑓(𝑐)=𝑘.
Statement with figure description: 1:22
Proof: 2:22
Continuity of function (epsilon-delta definition):
--------------------------------GIVEAWAY RULES-----------------------------------------------
To win "Oxford Concise Dictionary of Mathematics" follow the instructions given below:
1) Subscribe to my channel
2) Like any of the video on this channel
3) Comment (on any of the video on this channel) which topic of Maths you want me to cover?
** Make sure your subscriptions are visible to public.
***Open Internationally.
****There will be two winners.
*****Winners will be announced when this channel hit 1000 SUBS.
GOOD LUCK!!
Leave your REQUESTS down below!
Please Share & SUBSCRIBE xoxo!
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