possibly L'Hopital & FTC

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- Apr 15th 2010, 06:56 AMUC151CPRLimit as x approaches 0
possibly L'Hopital & FTC

- Apr 15th 2010, 07:01 AMGeneral
**Exactly.**

**If you apply L'Hospital's Rule and FTC, you will get:**

**$\displaystyle \frac{1}{3} \, \lim_{x\to 0} \dfrac{ \dfrac{sin(x)}{x} - 1 }{x^2}$**

**so ?** - Apr 15th 2010, 07:04 AMUC151CPR
- Apr 15th 2010, 07:11 AMGeneral
**No.**

**Why did you ask that ?**

**By the FTC:**

$\displaystyle \frac{d}{dx} \left( \int_0^x f(t) \, dt \right) = f(x)$ .. - Apr 15th 2010, 07:21 AMUC151CPR
- Apr 15th 2010, 07:41 AMGeneral