`0`
`1/2`
`1`
`2`
`-1/(4 sqrt2)`
`1/8`
`-1/(2 sqrt2)`
`1/(2 sqrt2)`
1 only
2 only
Both 1 and 2
Neither 1 nor 2
`1`
ln a
`1- a^(-1)`
Limit does not exist
`0`
In a
`1-a^(-1)`
Limit does not exist
`a^(2)`
`a^(-2)`
`-a^(2)`
`-a`
`0`
`1`
`-1`
Limit does not exist
` - 1/(2 sqrt(6))`
`1/5`
` - 1/ sqrt(6)`
` 1/ sqrt(6)`
`1/5`
`1 /sqrt(24)`
` sqrt(24)`
`1 /-sqrt(24)`
`-2`
`-1`
`0`
`1`
`-1`
`1`
`2`
`3`
`-1`
`3`
`-4`
`-3`
`2`
`4`
`5`
`13`
`1`
`log_5 e`
`log_e 5`
`5`
`log_e 5`
`log_5 e`
`5`
`1`
`36`
`9`
`4`
None of these
`0`
`1`
`n`
`n - 1`
` sqrt(2)`
`- sqrt(2)`
` 1/sqrt(2)`
Does not exist
`1`
`1/2`
`1/4`
`1/8`
`1/8`
`-1/8`
`1/12`
`-1/12`
`0`
`1/2`
`1`
`2`
`0`
`pi`
`1/pi`
`1`
`0`
`1/2`
`1`
`2`
Only I
Only II
Both 1 and II
Neither I nor II
`0`
`1`
`-1`
`1/2`
`1/2`
`-1/2`
`1`
`-1`
`0`
`1/2`
`1`
`-1/2`
`0`
`1/2`
`1/4`
`1`
Only I
Only II
Both I and II
Neither I nor II
`0`
`1/4`
`1/2`
`1`
`0`
`1`
`1/2`
Does not exist
`1/2`
`1`
`2`
`0`
`a- b`
`a+b`
`(b^2 - a^2)/2`
`(b^2 + a^2)/2`
`a- b`
`a+b`
`(b^2 - a^2)/2`
`(b^2 + a^2)/2`
`log (ab)`
`(log a)/(log b)`
`log (a/b)`
`log (b/a)`
`e`
`e^2`
`e^4`
`e^5`
`0`
`1`
`-1`
Does not exist
`e`
`e^3`
`e^(-9)`
`e^9`
`0`
`a`
`a^2/b`
Does not exist
`0`
`oo`
`e`
Does not exist
`0`
`oo`
`1`
`-1`
`2/sqrt(3)`
`1/(3 sqrt (3))`
`2/(3 sqrt(3))`
`1/sqrt(3)`
`1`
`0`
`oo`
`-1`
`0`
`e^4`
`e^(-2)`
`e^(-4)`