# Limits at Infinity and Horizontal Asymptotes - Page 5

Questions

- How do you find #lim sqrtt(sqrt(t+2)-sqrt(t+1))# as #t->oo#?
- What is the limit of #(x^2+1) / -x# as x goes to infinity?
- What is the limit of # (x +sqrt((x^2)+(3x)))# as x goes to infinity?
- What is the limit of #(x + (sqrt(x^2 + 2x))# as x goes to negative infinity?
- How do you find #lim sqrt(x^2+x)-x# as #x->oo#?
- What is the limit of #x^2e^x# as x goes to infinity?
- What is the limit of #[3 + 4/x - 5/x^2 + [x-1]/[x^3+1]# as x goes to infinity?
- How do you find #lim (5t+2)/(t^2-6t+1)# as #t->oo#?
- What is the limit of #sqrt(4x^2-1) / x^2# as x goes to negative infinity?
- What is the horizontal asymptote of #g(x)=1/(2x+4)# ?
- What is the limit of #1/sqrt(x^2 + 1)-x # as x goes to infinity?
- How do you find #lim (x^2+4)/(x^2-4)# as #x->2^+#?
- How do you find #lim tantheta# as #theta->(pi/2)^+#?
- What is the limit of #(x-1)(x-2)(x-3)(x-4)(x-5)/(5x-1)^5# as x goes to infinity?
- What is the limit of #(3x^2+20x)/(4x^2+9)# as x goes to infinity?
- How do you find #lim sqrt(x^2+1)-x# as #x->oo#?
- What is the limit as x approaches infinity of #sin(x)#?
- What is the Horizontal Asymptote of #y=arctan(x)#?
- What is the limit of #x^7/7^x# as x approaches infinity?
- How do you find #lim 1/root3(x)# as #x->0^+#?