(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find lim θ → 0: sinθ / θ + tanθ

2. Relevant equations

None.

3. The attempt at a solution

lim sinθ / θ + tanθ

θ → 0

= lim sinθ / θ + (sinθ / cosθ)

θ → 0

= lim sinθ / cosθ + sinθ / cosθ

θ → 0

= lim sinθcosθ / cosθ + sinθ

θ → 0

=sin(0)cos(0) / cos(0) + sin(0)

= 0 * 1 / 1 + 0

= 0

The right answer is a 1/2. I dont know what I could have done wrong, as my method produces a reasonable answer of 0

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# Find lim θ → 0: sinθ / θ + tanθ

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