# Limits at Infinity and Horizontal Asymptotes - Page 4

Questions

- Find the limit as x approaches infinity of #xsin(1/x)#?
- How do you find #lim (1-5t^-1)/(4+6t^-1)# as #t->0#?
- How do you find #lim (y^4-y^3+1)/(2y^4-4y^2+5)# as #y->oo#?
- What is the limit of #(2x-3)^20(3x+2)^30 / (2x+1)^50# as x goes to infinity?
- What is the limit of #(1+2x)^(1/x)# as x approaches infinity?
- What is the horizontal asymptote of #y=((2x+3)(5x-2))/(7x^2-3)# ?
- What is the limit of #f(x) = (1 + 4e^-x )/( 3 - 2e^-x)# as x goes to infinity?
- How do you find #lim_(t to oo)sqrt(t^2+2)/(4t+2)#?
- What is the limit of #(-5x^3) /( 3x^2-1) # as x approaches infinity?
- Find the limit as x approaches infinity of #y=arctan(e^x)#?
- How do you find #lim tantheta# as #theta->(pi/2)^-#?
- What is the limit of #root3[x^3+2] - root3[x^3-1]# as x goes to infinity?
- What is the limit of # (x^3 - 2x +3) / (5-2x^2)# as x goes to infinity?
- How do you find #lim sqrtx+sqrt(x+1)# as #x->oo#?
- What is the limit of # (2x^2-4x) / (x+1)# as x goes to infinity?
- What is the limit of # (x / cos (-3x))# as x approaches infinity?
- What is the limit as x approaches infinity of #e^x#?
- How do you find #lim tantheta# as #theta->pi/2#?
- What is the limit of #(1+4/x)^x# as x approaches infinity?
- What kind of functions have horizontal asymptotes?