Limits and Cont...

$$\underset { \theta \longrightarrow 0 }{ Lt } \dfrac { 3tan\theta -tan3\theta  }{ { 2\theta  }^{ 3 } } =$$

$$\underset { x\rightarrow 0 }{ lim } \dfrac { 1 }{ { e }^{ 2 } } tan\left( \dfrac { \pi  }{ 4 } +x \right) ^{ 1/x }$$

$$lim_{x \to 0^-} \dfrac{x([x]+ \mid x \mid )sin[x]}{\mid x \mid}$$ is equal to

$$L\underset { x\rightarrow \infty  }{ im } \left( \sin { \sqrt { x+1 } -\sin { \sqrt { x }  }  }  \right) =$$

$$\displaystyle\underset{x\rightarrow \dfrac{\pi}{4}}{Lt}\dfrac{\sqrt{2}-\cos x-\sin x}{(4x-\pi)^2}=?$$

$$ \lim _{x \rightarrow 0} \frac{1-\cos ^{3} x}{x \sin 2 x}= $$

$$L\underset { x\rightarrow 0 }{ im } \frac { \sec { 4x-\sec { 2x }  }  }{ \sec { 3x-\sec { x }  }  }=$$

the value of $$\underset { x\rightarrow 0 }{ lim } \frac { sin\alpha X-sin\beta X }{ { e }^{ \alpha X }-{ e }^{ \beta X } } $$ equals

$$\mathop {\lim }\limits_{h \to 0} \frac{{\sin \left( {a + 3h} \right) - 3\sin \left( {a + 2h} \right) + 3\sin \left( {a + h} \right) - \sin a}}{{{h^3}}}$$ is equal to 

The value of $$\underset { x\rightarrow 0 }{ lim } \left( \left( sinx \right) ^{ 1/x }+\left( \dfrac { 1 }{ x }  \right) ^{ sinx } \right) $$ equals