Question

Lim-0
(1 + 3x)/x =?????​

Answer 1

See below.

Explanation:

The two sided limit does not exist.

As x approaches 0 from negative values the limit is -∞.

As x approaches 0 from positive values the limit is ∞.

Answer 2

not exist

Explanation:

`\lim\limits_(x\to0)(1+3x)/(x)\\\\\lim\limits_(x\to0^+)(1+3x)/(x)=(1+(3)(0))/((+))=(1)/((+))=+\infty\\\\\lim\limits_(x\to0^-)(1+3x)/(x)=(1+(3)(0))/((-))=(1)/((-))=-\infty`