知(し)る限(かぎ)りas far as I know

僕(ぼく)の知(し)る限(かぎ)り、母(はは)は食(た)べることが大好(だいす)きだった。

As far as I know, my mother loved to eat.

私(わたし)が知(し)る限(かぎ)り、地球(ちきゅう)は温暖(おんだん)化(か)の一途(いっと)を辿(たど)っているらしい。

As far as I know, it seems that the Earth is on a path of global warming.

俺(おれ)が知(し)る限(かぎ)り、母校(ぼこう)で起(お)きた喧嘩(けんか)騒動(そうどう)で二人(ふたり)が退学(たいがく)になったって。

As far as I know, two people were expelled due to the fighting incident that occurred at my alma mater.

父親(ちちおや)の僕(ぼく)が知(し)る限(かぎ)り、息子(むすこ)は息子(むすこ)なりに受験(じゅけん)勉強(べんきょう)に真剣(しんけん)に取(と)り組(く)んでいる。

As far as I know as a father, my son is seriously dedicating himself to his exam studies in his own way.

飽(あ)くまでもこれは私(わたし)が知(し)る限(かぎ)りですが、社長(しゃちょう)とあの社員(しゃいん)が不倫(ふりん)関係(かんけい)にあるそうです。

Strictly speaking, this is only as far as I know, it seems that the president and that employee are having an affair.