Definition of transcendental functions

Exercise

1.

Find the following limit.．

(a)

$${\lim_{x \rightarrow 0}\frac{\log{(1+x)}}{x}}$$

(b)

$${\lim_{h \rightarrow 0}\frac{e^{h} - 1}{h}}$$

(c)

$${\lim_{x \rightarrow a}\frac{\log{x} - \log{a}}{x - a}}$$

(d)

$${\lim_{x \rightarrow 0}\frac{(1+x)^{\alpha} - 1}{x}}$$

(e)

$${\lim_{x \rightarrow 0+}x^x}$$