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Real Analysis
if A be a subset of real number and B is real number then show that sup(b+a)=b+sup(A)
Real Analysis
Prove that
lim┬(x□(→┬ )1^- )〖f(x)≔〗 lim┬(x□(→┬ )1^- )〖 (x+2)/(2x^2-3x+1)=-∞.〗
lim┬(x□(→┬ )1^- )〖f(x)≔〗 lim┬(x□(→┬ )1^- )〖 (x+2)/(2x^2-3x+1)=-∞.〗
Real Analysis
Let E⊆R be nonempty. Prove that:
(i)E has an infimum if and only if –E has a supremum, in which case
sup(-E)=-infE.
(i)E has an infimum if and only if –E has a supremum, in which case
sup(-E)=-infE.
Real Analysis
Prove that if f is uniformly continuous on (a,b}and on [b,c), then f is uniformly continuous on (a,c)
Real Analysis
Show that there are at least three distinct points x1,x2, and x3 such that f(x1)=f(x2)=f(x3)=10, where f(x)=x^3/(x^2-1)
Real Analysis
I was wondering if you would be able to give me a solution or hint on the following problem:
Let D be a non-empty subset of the real numbers, and E={ax, x in D} where a>0. Prove that E is open if and only if D is open.
Any help would be greatly appreciated. Thank you
Let D be a non-empty subset of the real numbers, and E={ax, x in D} where a>0. Prove that E is open if and only if D is open.
Any help would be greatly appreciated. Thank you
Real Analysis
if absolute value of z-y is greater than delta does it imply that absolute value of z ^n -y^n is greater than epsilon , where n > 0
Real Analysis
the set of _____ is the set {...,-5,-4,-3,-2,-1,0,1,2,3,2,4,5,...}
Real Analysis
An American man visiting London changed $500 into English Pounds. He sent £257 and changed the rest back to dollars when the rate of exchange was $1.55 to the pound. At each transaction the bank charged a commission of 2%. How many dollars did the man have at the end of the transaction
Real Analysis
Show that f(x)=x^2 is not uniformly continuous on R.
