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I want to say something can be done very easily. It is from the sentence:

"These lemmas enable us to find the best polynomial approximation of some simply structured functions without effort"

I used the phrase "without effort'.

Is there any option? I am not sure it is the most appropriate one.

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    I think there are several ways, can you add more context? If you look for a synonym, you can use google. – Cardinal Jul 9 '16 at 3:50
  • It is from the sentence 'These lemmas enable us to find the best polynomial approximation of some simply structured functions without effort' – John Jul 9 '16 at 4:02
  • I think, natives can help you to construct a natural sentence, but I would use an adverb in this constext: ....to readily/easily find the best polynomial .... functions. – Cardinal Jul 9 '16 at 4:13
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Yes, in such a context, that sounds perfectly fine. You could also say

[...] of some simply structured functions

  1. effortlessly.
  2. easily.
  3. readily.

And as Cardinal points out, you can move these [adverb]s around and say

These lemmas enable us to [adverb] find the best polynomial approximation of some simply structured functions.

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