Problem $3$

Let

a$.$ Create the function and two sequences of values approaching to $x=2$ on both sides and plot them to see whether $g(x)$ is continuous. If

the answer is not clear, try to make your sequence more precise.

def g$($x$)$:

if x$<mn>2</mn>$:

return x$**-$x$-1\mathrm{.}5$

else:

return np$.$cos$($x$)+\backslash$operatorname$\{$sin$\}($x$)$

g$=$np$.$vectorize$($g$)$

b$.$ Based on part a$.$ try to guess whether the function is continuous or not at $x=2.($For this part it is not important whether your guess is right

or wrong, but write why you think your answer is right$)$

Answer:

c$.$ Use SymPy to find both left and right limit$.$ Is the function continuous?

$[15]$ Start coding or generate with AI$.$

#$*$

NameError

Traceback $($most recent call last$)$

sipython$-$input$-15-850$a$647$c$86$f$8>$ in