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limx-> cos((((x+1)(3-x^2))/(x^3-)) how do I solve trigonometric limits such as this one?

limx->∞ cos((((πx+1)(3-x^2))/(x^3-π))


how do I solve trigonometric limits such as this one?

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 lim ​ x → ∞ ​ ​ c o s ( ​ ( x ​... View the full answer

2 comments
  • I don't understand the step where you multiply the top and bottom by x^3. Are you factoring it?
    • eelmadd
    • Aug 09, 2018 at 4:54pm
  • No, for the numerator I have taken out the one x from the (pi x + 1) and x^2 form the (3 - x^2). Similarly for denominator I have take out x^3 from the (x^3 - pi), You can check this by multiplying the terms.
    • abhisheksingla
    • Aug 09, 2018 at 5:00pm

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