"I'll show" versus "I'll see"

[Dongy]

English Grammar Tests, Elementary Level

ESL/EFL Test #61 "Chit Chat: In the supermarket", question 7

Employee: Just tell me and I'll ......... if I can help.

(a) look
(b) see
(c) glance
(d) watch

English Grammar Tests, Elementary Level

ESL/EFL Test #61 "Chit Chat: In the supermarket", answer 7

Employee: Just tell me and I'll see if I can help.

Correct answer: (b) see
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I Usually meet " Just tell me, I'll show you if I can help" , Why in this situation, we have "I'll see". What is difference between them.

Dong

[Mister Micawber]

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Hello, Dong. I'm sorry, but I have never heard 'I'll show you if I can help'-- I'm not sure I can figure out what it means. Where or with whom do you usually meet this phrase?
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Native English teacher at Mister Micawber's

[Santinat]

can't you say " I'll look if I can help"? Thank you

[Mister Micawber]

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No.
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Native English teacher at Mister Micawber's