1. For what values of a would the lim x→a sin(x)/x be indeterminate? How could you find the limit at this value? 2. Is it possible for a function with a domain of all real numbers to have a point or points of discontinuity?

3. Discuss the relationship between the continuity of a function at point a and the left-hand derivative (LHD) and right-hand derivative (RHD) at point a.

your limit involves trigonometric terms, such as sine or cosine, try to replace parts of the function with alternative forms of the terms if direct substitution gives you an indeterminate form. For example, if your function is f(x) = (1 - cos²x)/(sinx), you could replace 1 - cos²x with sin²x (as sin²x + cos²x = 1) and then cancel the sinx in the denominator, leaving you with f(x) = sinx.

100%(8)

Step-by-step explanation:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.