Question

lim sin 1/x is?a) -1 b) 1 c) 0 d) 3 x tends to 0.​

Answer 1

Step-by-step explanation:

lim sin 1/x is 0

option C. is the correct answers

Answer 2

Answer:

When x is large, 1/x is small and hence y is small. The negative half of the curve is similar in character to the positive half. ∴ The function sin(1/x) oscillates finitely within the bounds +1 (upper) and -1 (lower). ∴ the limits of sin(1/x) are +1 and-1

To see this, consider that sin(x) is equal to zero at every multiple of pi, and it wobbles between 0 and 1 or -1 between each multiple. Hence, sin(1/x) will be zero at every x = 1/(pi k), where k is a positive integer