Evaluate \(\lim_ { h\rightarrow 0 } \frac { (a+h)^{ 2 }sin(a+h)-a^{ 2 }sin\quad a }{ h } \)

2

(a)

Evaluate \(\lim _{x \rightarrow \pi / 6} \frac{\cot ^{2} x-3}{\operatorname{cosec} x-2}\)

2

(a)

Evaluate \(\lim _{x \rightarrow 2} \frac{x^{2}-x \log x+2 \log x-4}{x-2}\)

2

(a)

Evaluate \(\lim_ { x\rightarrow 0 }{ lim } \frac { x\quad tan4x }{ 1-cos4x } \)

2

(a)

Evaluate \(\lim_ { x\rightarrow 0 }{ lim } \frac { sin\quad x-2sin\quad 3x+sin\quad 5x }{ x } \)

2

(a)