limits:Evaluate the following \lim _{x \rightarrow 0} x \sin \left(\frac{1}{x^{2}}\right) \lim _{x \rightarrow 0} x^{\tan x} \lim _{x \rightarrow 0} \frac{x^{3} \sin \left(\frac{1}{x^{2}}\right)}{\sin x} \lim _{x \rightarrow \infty}(x+\sin x)^{\frac{1}{x}} \lim _{x \rightarrow 0^{+}}(x+\sin x)^{\frac{1}{x}}

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6