the limit of the function may not exist at the point

The function must be derivable at the point

the limit of the function at the point tends to infinity

the limit must exist the point and the value of limit should be same as the value of the function at the point.

$$0$$

$$1$$

$$3$$

not defined

$${4 \over 9}\sqrt {{e^3}} + {2 \over 9}$$

$${2 \over 9}\sqrt {{e^3}} - {4 \over 9}$$

$${2 \over 9}\sqrt {{e^3}} + {4 \over 9}$$

$${4 \over 9}\sqrt {{e^3}} - {2 \over 9}$$

$$1/6$$

$$1/4$$

$$1/3$$

$$1/2$$