Question

limit x tends to 0 |sinx|÷x​

Answer 1

Answer:1

Step-by-step explanation:

Answer 2

Answer:

does not exists

Step-by-step explanation:

We shall find the limit as x approaches 0 from the left and as x approaches 0 from the right.

For x < 0, | x | = – x

limx→0 – sin | x | / x

= limx→0 – sin (- x ) / x

= – limx→0 – sin ( x ) / x

= -1

For x > 0, | x | = x

limx→0 + sin | x | / x

= limx→0 + sin x / x

= 1

The two limits from the left and from the right are different, therefore the above limit does not exist.

limx→0 sin | x | / x does not exist