# Integration

#1
Last edited by Student 999; 4 weeks ago
0
4 weeks ago
#2
(Original post by Student 999)
Is this the correct answer?Attachment 1052269
Dont follow your justification for divergence at all and no, its not correct.
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#3
(Original post by mqb2766)
Dont follow your justification for divergence at all and no, its not correct.
Could you hint to me as to how to show the divergence, not many ideas currently,I could potentially try evaluating at x=1 using L'hospitals rule but don't think that'll work
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4 weeks ago
#4
(Original post by Student 999)
Could you hint to me as to how to show the divergence, not many ideas currently,I could potentially try evaluating at x=1 using L'hospitals rule but don't think that'll work
First of all, have you subbed x=0.9, 0.99, 0.999 etc into your calc and done a sanity check to see if it does diverge?
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#5
(Original post by mqb2766)
First of all, have you subbed x=0.9, 0.99, 0.999 etc into your calc and done a sanity check to see if it does diverge?
Im being lost, my bad it converges and I could just manipulate the expression using the natural log form of tanh to prove it
Last edited by Student 999; 4 weeks ago
0
4 weeks ago
#6
(Original post by Student 999)
Im being lost, my bad it converges and I could just manipulate the expression using the natural log form of tanh to prove it
Agreed. If youre trying to prove a property, its always worth making sure that the property is correct in the first place. Otherwise its pages of "dumb algebra".
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4 weeks ago
#7
(Original post by Student 999)
Is this the correct answer?Attachment 1052269
Hey, where did you get this question from? Would you mind sharing any others that you have that are similar? Thanks in advance
1
4 weeks ago
#8
These people are starving haha. You could always pm me if you need help with these questions😉
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#9
I just made this question up by considering the shape of the graph, go on desmos and try do it for other hyperbolic functions as well if you want For those that saw it, I think it's quite a nice question that will be at least good practice for Wednesday. Good luck
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