MX2 Integration Marathon (2 Viewers)

stupid_girl

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Hey you can't just commute the limit with the integral like that. Everyone knows limits don't commute in general.

Please justify the commutation using only techniques from the syllabus. :)
It requires uniform convergence. Does the syllabus cover techniques to prove uniform convergence?o_O
 

stupid_girl

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This question can take ages if you're not on the right track.:mad:

(modified to make it look more evil😈...feel free to share your attempt)
It seems no one has attempted yet. It's actually a combination of several results. The last one is the most interesting.😈
















 

stupid_girl

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Last question of the year

Show by mathematical induction that

for all positive integers n and non-zero real number a.
 
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Drdusk

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Last question of the year

Show by mathematical induction that

for all positive integers n and non-zero real number a.
I got this one, it's quite a standard one especially compared to all the other ones.
 

fan96

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How about something a little bit different?



Without numerically evaluating , show that




The well known inequality may be useful.
 
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Drdusk

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How about something a little bit different?



Without numerically evaluating , show that




The well known inequality may be useful.










 

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