Please Answer ASAP
Posted: Tue May 10, 2022 11:49 am
Please Answer ASAP
Use the given formal definition to prove the limit statement. 1 lim = 00 11 2 -X The function f(x) approaches infinity as x approaches c from the left, written lim f(x) = 0, if, x for every positive real number B there exists a corresponding number 8 >0 such that for all x, C-8<x<cā f(x)>B. Complete the introductory statement. Given B >0 find 8 >0 such that for all x, 1-8<x<< 1 -ā- >B. Complete the statement. B if and only if (x > 0 1-X Complete the conclusion statement. 1 1 Thus by choosing 8 = /1- B to- it follows that 1-8<x< 1 implies that 1_ 2 1-x 1-82 Complete the final statement. 1 Therefore, for every positive real number B, there exists a corresponding number 8 >0 such that for all x, 1-8<x< 1 implies lim x-1-1-X?
Use the given formal definition to prove the limit statement. 1 lim = 00 11 2 -X The function f(x) approaches infinity as x approaches c from the left, written lim f(x) = 0, if, x for every positive real number B there exists a corresponding number 8 >0 such that for all x, C-8<x<cā f(x)>B. Complete the introductory statement. Given B >0 find 8 >0 such that for all x, 1-8<x<< 1 -ā- >B. Complete the statement. B if and only if (x > 0 1-X Complete the conclusion statement. 1 1 Thus by choosing 8 = /1- B to- it follows that 1-8<x< 1 implies that 1_ 2 1-x 1-82 Complete the final statement. 1 Therefore, for every positive real number B, there exists a corresponding number 8 >0 such that for all x, 1-8<x< 1 implies lim x-1-1-X?