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golodykov
@golodykov
August 2022
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lim->3 x^2-9/3*(x-3)
lim->0 3x-sinx/tg2x
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ShirokovP
Verified answer
lim ->3 (x^2 - 9)/3(x - 3) = [ 0/0 ] =
= lim -> 3 (x - 3)(x + 3)/ 3(x - 3) =
= lim -> 3 (x + 3)/3 = (3+3)/3 = 6/3 = 2
lim -> 0 (3x - sinx)/tg2x = [ 0/0] =
= lim-> 0 (3x - sinx) ' / (tg2x) ' =
= lim-> 0 (3 - cosx)(cos2x)^2 / 2 =
= (3 - cos0)(cos0)^2/2 =
= ( 3 - 1)*1/2 = 2/2 = 1
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Answers & Comments
Verified answer
lim ->3 (x^2 - 9)/3(x - 3) = [ 0/0 ] == lim -> 3 (x - 3)(x + 3)/ 3(x - 3) =
= lim -> 3 (x + 3)/3 = (3+3)/3 = 6/3 = 2
lim -> 0 (3x - sinx)/tg2x = [ 0/0] =
= lim-> 0 (3x - sinx) ' / (tg2x) ' =
= lim-> 0 (3 - cosx)(cos2x)^2 / 2 =
= (3 - cos0)(cos0)^2/2 =
= ( 3 - 1)*1/2 = 2/2 = 1