let's go + ing

[allthewayanime]

Is this sentence correct?

'Let's go play' or should it be 'Let's go playing' ?( I think the former one is right ,but I am not sure).
Let's go service him or Let's go servicing him

[Raymott]

Is this sentence correct?

'Let's go play' or should it be 'Let's go playing' ?( I think the former one is right ,but I am not sure).
Let's go service him or Let's go servicing him

No, it's "Let's go and play"; "Let's go and service him" (whatever that means).
"Let's go play" is probably regarded as normal in some parts of the US.
Your second alternative is definitely not right anywhere.

[emsr2d2]

The only time this would work would be where the -ing construction is commonly viewed as a noun in its own right.

Let's go shopping.
Let's go skiing.
Let's go ice-skating.
Let's go bungee-jumping.
Let's go roller-blading.

I can't actually think of any more. The general construction with "Let's go" would be "and + bare infinitive".

Let's go and play.
Let's go and make cookies.
Let's go and cause trouble.
Let's go and see our friends.
Let's go and watch a movie. (AmE)
Let's go and see a film. (BrE)
Let's go and listen to some music in the park.

[allthewayanime]

What about this sentence ?

Let's go and grab something to eat or Let's go and grab something and eat

[riquecohen]

"Let's go play" is probably regarded as normal in some parts of the US.
.

That's right. It's very frequently heard without and.

[emsr2d2]

What about this sentence ?

"Let's go and grab something to eat" or "Let's go and grab something and eat."

Only the first one sounds natural because you're referring to one verb "to grab" and one noun "something to eat" (ie some food). "Something to eat" is a common, recognised phrase for "some food".

The second one is a verb "to grab", then a noun "something", then another verb "to eat". The "something" isn't specified so it's not clear that it's food.

[allthewayanime]

Thank you for replying. One last thing : would it be correct to say ' You'll try and send it to her ?!' instead of 'You'll try to send it to her ?!'

[emsr2d2]

Thank you for replying. One last thing : would it be correct to say ' You'll try and send it to her ?!' instead of 'You'll try to send it to her ?!'

Is that meant to be a question? I only ask because you have used the non-interrogative construction but put a question mark at the end.

[allthewayanime]

Yes , it would be a question.

[emsr2d2]

In that case, you could say either "You'll try and send it to her?" or "You'll try to send it to her?"

Both would be understood.