N4 — outside your level filter

causative

please let me do it — asking for permission to be the one who acts

その仕事しごと、ぜひ私わたしにやらせてください。

sono shigoto, zehi watashi ni yarasete kudasai.

Please let me be the one to take that job on. neutral

ちょっと考かんがえさせて。明日あした返事へんじするから。

chotto kangaesasete. ashita henji suru kara.

Let me think about it — I'll give you an answer tomorrow. casual

Variants

させてもらえませんかsasetemoraemasenkacolloquial
a question instead of a request — leaves the refusal genuinely open, and is what you use with a colleague rather than a customer.
させていただけませんかsaseteitadakemasenkaformal
humble いただく on the same causative base — the business and email tier, and the softest of the three.
させてsasetecolloquial
ください dropped in casual speech, usually with a rising tone — ちょっと考かんがえさせて.

This pattern, conjugated

させてくださいsasete kudasaiN4neutral