Questions asked by Kaytlyn

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• Prove that lim_(n->oo) (2n+1)/(3n+2)=2/3 ?
  
• How to solve #a^3-3a+2=0# ?
  
• It is considered a rectangle with equations of 2 sides : #3x-2y-5=0#, #2x+3y+7=0# and a tip A(-2,1). How to determine #S_ABC# ?
  
• In a square there are equations of 2 sides #5x-12y-65=0# and #5x-12y+26=0#.How to calculate the area of the square, using determinants?
  
• How to solve #lim(root(n)(x)-1)/(root(m)(x)-1)# with #n,m in NN# and #n>=2#?
  
• How to solve #lim(root(3)(x^2) -2root(3)(x)+1)/(x-1)^2# ?
  
• How to solve #lim_(x->0)(sqrt(cosx)-1)/x^2# ?
  
• How to solve #lim_(x->prop) x sin (pi/x)=# ?
  
• How to solve #lim_(x->oo)( sqrt(x^3+x) - root(3)(x^2+1))# ?
  
• How to resolve [x+1]=2x-1?
  
• How to solve #lim_(x->oo) abs(x-1)e^(1/x)# ?
  
• It is given #vec u=2vec i+3vec j # and #vec v=3vec i+2vec j # .How to calculate #vec u*vecv#?