# Determining Limits Algebraically - Page 3

Questions

- How do you evaluate the limit #sqrt(x-2)-sqrtx# as x approaches #oo#?
- How do you evaluate the limit #sin(5x)/x# as x approaches #0#?
- How do you find the limit of #arctan(x)# as x approaches #oo#?
- How do you find the limit of #f(x) = (x^2 + x - 6) / (x + 3) # as x approaches 2?
- How do you determine the limit of #(x+4)/(x-4)# as x approaches 4+?
- What is the limit of #((x+1)/x)^x# as x approaches #oo#?
- How do you find the limit of #sinxlnx# as x approaches 0 using l'hospital's rule?
- How do you find the limit of #x^5# as x approaches #a#?
- How do you find the limit of #x^2e^x# as x approaches #oo#?
- How do you find the limit of #x^2 * e^x# as x approaches infinity?
- How do you find the Limit of #n^( ln( (n+1)/n )# as n approaches infinity?
- How do you find the limit of #x^(sin(x))# as x approaches 0?
- How do you find the Limit of #sqrt (x -1) / (sqrt(x+3) - 2) # as x approaches 1?
- How do you evaluate the limit #(x^4-16)/(x-2)# as x approaches #2#?
- What is the limit of #(2^x -32)/(x-5 )# as x approaches #5#?
- How do you find the limit of #(x^2-9)/(x^2+2x-3)# as x approaches 3?
- How do you find the limit of #(x-tanx)/x^3# as x approaches 0?
- How do you evaluate the limit #root4(2cosx-5)# as x approaches 0?
- How do you find the limit of #x^(7/x)# as x approaches infinity?
- How do you find the Limit of #(lnx)^3/x^2# as x approaches infinity?