Sean C. answered • 01/22/16
Tutor
New to Wyzant
To supplement Heather's answer, the "right conditions" to use L'Hopital's rule are when "substituting in to the limit" yields 0/0 or infinity/infinity.
Mathalina S.
asked • 01/09/16Determine Lim x->0 sin(3x^2)/x
How do I solve this? I never learned how to solve limits with trig functions
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2 Answers By Expert Tutors
Brian O. answered • 01/09/16
Tutor
New to Wyzant
Lim x→0 sin (3x2)/x
= Lim x→0 [sin (3x2)/3x2 * 3x]
= 1* 0
= 0
Brian O.
since lim x --> 0 sin (3x2)(3x2) = 1
That is the reason why lim x --> 0 sin (3x2)(3x2)(3x)
= 1*0
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01/11/16
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Mathalina S.
01/09/16