Here's a MATLAB script, explains it line by line in details. >> x = 0:pi/100:2*pi; >> y1 = 2*cos(x); >> y2 = cos(x); >> y3 = 0.5*cos(x); >> plot(x,y1,'--',x,y2,'-',x,y3,':'") >> xlabel('0 \leq x\leq 2\pi') >>ylabel('Cosine functions') >> legend('2*cos(x)','cos(x)','0.5*cos(x)') >> title('Typical example of multiple plots') >> axis([0 2*pi -3 3])

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A: Using L'Hospital's rule to evaluate this limit,we know that,if  is of the intermediate form or…

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A:

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