Use interval notation to present the answers to these three questions.$($a$)$ Find the set of real numbers t for which the following series converges:A$($t$)=$n$=16$$(12$t$13)$n$.$Answer: $($b$)$ Find the set of all real numbers x for which the following series converges:B$($x$)=$n$=9$$($arctan$(4$x$23))$n$.$Answer: $($c$)$ Find the largest interval including $0$ on which the following series converges:C$($$)=$n$=4$$2$nsin$2$n$(1951$$).$Answer: