# Determining Limits Algebraically - Page 4

Questions

- How do you evaluate the limit #(x^3+27)/(x+3)# as x approaches #3#?
- How do you find the limit of #(x^2-5x+4)/(x^2-2x-8)# as #x->4#?
- How do you evaluate # (x-7)/(x^2-49)# as x approaches 7?
- How do you evaluate the limit #3x^2+4x-5# as x approaches #5#?
- How do you find the limit of #(sqrt(1+2x))-(sqrt(1-4x)] / x# as x approaches 0?
- How do you find the limit of #(x/(x+1))^x# as x approaches infinity?
- How do you find the limit of #((1/(x+3))-(1/3))/x# as x approaches 0?
- How do you find the limit #(1/t+1/sqrtt)(sqrt(t+1)-1)# as #t->0^+#?
- How do you find the limit #(xlnx)/(x^2-1)# as #x->1#?
- What is the limit of #x^(1/x) # as x approaches infinity?
- How do you find the limit of # (-18-x)/(x-18)# as x approaches 18?
- How do you find the limit of #f(x)= 1/(x+2)# as x approaches 2?
- How do you find the limit of #R(x) = (x - 1)/(x² - 1)# as x approaches #-1#?
- How do you evaluate the limit #-s^2+8s-17# as s approaches #3#?
- How do you find the limit of #(x+5)/(x-5)# as x approaches 5 from the right?
- How do you find the limit of #x^4# as #x->2#?
- How do you find the limit of #(x^2 - 1) # as x approaches #-2#?
- How do you determine the limit of #(2x^2-4x) / (x+1)# as x approaches positive infinity?
- How do you evaluate #(sin^3x+cos^3x )/( cosx + sinx)# as x approaches #3pi/4#?
- How do you evaluate the limit of #x+sinx# as #x->0#?