noun
boundlessness; endlessness; infinity
Often used adverbially as 限り無しに, meaning 'without limit' or 'endlessly'. Describes something that has no bounds or is infinite.
宇宙の広がりは限り無しに思える。
The expanse of the universe seems boundless.
彼の好奇心は限り無しだ。
His curiosity is limitless.
noun
incessantness; continuousness
Refers to something that continues without stopping, such as rain, noise, or work. Often used in the adverbial form 限り無しに.
限り無しに降る雨にはうんざりだ。
I'm fed up with the incessant rain.
彼の話は限り無しに続いた。
His talk went on endlessly.
無限 is a more common and technical term for 'infinity' or 'limitless', while 限り無し is a native Japanese compound with a slightly more literary or descriptive feel.
果てしない is an adjective meaning 'endless' or 'boundless', often used for physical distances or abstract concepts, similar to 限り無し but more common in everyday speech.
Compound of 限り (kagiri, 'limit') + 無し (nashi, 'without'). The reading きりなし is a rendaku form of きり (kiri, 'end') + なし (nashi, 'not exist').