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I think S:={x=p/2^n |p is odd} is a dense set in R that is a key fact here that leads to existence of any sequence in xn in S st xn --->c ( c being irrational or 0)
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Sir I have a doubt jab 2025 suru he nhi huwa tho ye question 2025 kese puchha gya sir
If we take a=p/2^m then any y belongs to R\Q(intersection)(a-delta,a+delta) we have /f(y) -f(x)/=1/2^m=epsilon..so f is not continuous at x=a
H.W. Ans Yes
Hw ansYes hoga x=1 pr
HW Ans-No ,since f is not continuous at x which is not equal to p/2^n €Q
H W ana - no
Good morning sir, Sir out of 25 attempts questions, only 22 are correct, any chance of selection in the written exam?😐 (Applying in integrated PhD)
Hw answer, Yes
H.W. ans No
Isko mne attemp hi nhi kiya muje c me doubt tha kyuki
Hw ans Yes
H.w.Ans NO
H.W Ans : No
H.W ans, yes
HW ans NO
Since it depends whether the rational is of the form p/2^n or p/q form
HW ans No
I think S:={x=p/2^n |p is odd} is a dense set in R
that is a key fact here that leads to existence of any sequence in xn in S st xn --->c ( c being irrational or 0)
❤❤❤❤❤❤
Sir I have a doubt jab 2025 suru he nhi huwa tho ye question 2025 kese puchha gya sir
If we take a=p/2^m then any y belongs to R\Q(intersection)(a-delta,a+delta) we have /f(y) -f(x)/=1/2^m=epsilon..so f is not continuous at x=a
H.W. Ans Yes
Hw ans
Yes hoga x=1 pr
HW Ans-No ,since f is not continuous at x which is not equal to p/2^n €Q
H W ana - no
Good morning sir,
Sir out of 25 attempts questions, only 22 are correct, any chance of selection in the written exam?😐 (Applying in integrated PhD)
Hw answer, Yes
H.W. ans No
Isko mne attemp hi nhi kiya muje c me doubt tha kyuki
Hw ans Yes
H.w.Ans NO
H.W Ans : No
H.W ans, yes
HW ans NO
Since it depends whether the rational is of the form p/2^n or p/q form
HW ans No