√π T(m)T(n + 1) = ₂ = ₁ 1(2 Г(n)Г 2 22n-1 -T(2n), n > 0

Q: B Gven AB II DE Prove AABC^ADEC A

A:

Q: Prove that there is a positive number z so that z^5 + 10z = 10.

A: TO PROVE:-  There is a positive number z satisfying z5+10z=10 GIVEN :- z5+10z=10

Q: Show that if a and b are real numbers and a!=0 then there is unique number r such that ar+b=0

A:

Q: Show that there is exactly one positive number u such that In(u² + 1) + Tu = 2021.

A:

Q: verify that (A + B) + C = A + (B + C)

A: Now,

Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

A:

Q: How many bijective functions have [10] as both the domain and codomain

A: Given, 10

Q: Prove that for all real numbers Ex)y= -(1u)

A: We have to prove that for all real numbers (- x)y= - (xy)

Q: Prove that 80

A: Let An=-1n,2+1n and A=∩n=1∞-1n,2+1n=a,b Since, Ai⊃Aj whenever j<i, we can find A by simply taking…

Q: for ne J, x is a (1-x)(1+x+x²+.. + x^²) = 1=x^²+₁ variable, prove that

A:

Q: Let a1, a2, a3, . .., an be real numbers. Prove that at least one of them is greater than the…

A: We prove it by contradiction.