# Limits at Infinity and Horizontal Asymptotes - Page 6

Questions

- How do you find #lim (sqrt(x+2)-sqrtx)/(sqrt(x+3)-sqrtx)# as #x->oo#?
- How do you find #lim cos(1/t)# as #t->oo#?
- How do you find the limit of #x^x# as #x>0^-#?
- How do you find #lim 1+1/x# as #x->0^-#?
- What is the limit of #sqrt(x^3-2x^2+1)/[x-1]# as x goes to infinity?
- What is the limit of #sinx / x# as x goes to infinity?
- What is the limit of #sin^4(x)/x^0.5# as x goes to infinity?
- Do polynomial functions have asymptotes? If yes, how do you find them?
- What is the horizontal asymptote of the graph of #y=(3x^6-7x+10)/(8x^5+9x+10)#?
- How do you find #lim theta costheta# as #theta->oo#?
- What is the limit as x approaches infinity of #(x^2-4)/(2+x-4x^2)#?
- How do you find the horizontal asymptote of the graph of #y=6x^2# ?
- What is the limit of #(x^2)(e^x)# as x goes to negative infinity?
- How do you find the limit of #ln(lnt)# as #t->oo#?
- What is the limit of #(8-(7y^2))/((2y^2)+9y)# as x goes to infinity?
- How do you find #lim (x+1)^(3/2)-x^(3/2)# as #x->1^+#?
- How do you find #lim_(x to 0) xcos(1/x)#?
- What is the limit of #(-2x+1)/sqrt(x^2 +x)# as x goes to infinity?
- How do you find #lim sqrt(3x+1)-2sqrtx# as #x->oo#?
- What is the limit as x approaches infinity of #cos(x)#?