201 What is a Limit MrG 2013.0415

3115 days ago by MATH4R2012

#1) find limit as x approaches -3 for the function y=x+4 show(limit(x+4,x=-3)) show(limit(x+4,x=0)) plot(x+4,-5,5) 
       


#2)find the limit as x approaches -2 for y=(x^2+2x+4)/(x+2) show(limit((x^2+2*x+4)/(x+2),x=-2)) plot((x^2+2*x+4)/(x+2),xmin=-4,xmax=4,ymin=-1000,ymax=1000) 
       

#3)find the limit as x approaches -2 for y=(x^2+4x+4)/(x+2) show(limit((x^2+4*x+4)/(x+2),x=-2)) plot((x^2+4*x+4)/(x+2),-5,5) 
       

factor((x^2+4*x+4)/(x+2)) 
       
((x^2+2*x+4)/(x+2)).simplify_rational() 
       
#4) limit(abs(x),x=0) 
       
plot(abs(x)) 
       
#5) limit((2*x+1)/(3*x-2),x=infinity) 
       
plot([(2*x+1)/(3*x-2),2/3],1,1000)