You would just need to make an inequality from the description. You would make "x" the number. The answer would be "x-4>-1"
Step-by-step explanation:
after you draw a unit circle you will find the answer
cosec(3pi)=1/sin(3pi)
sin3pi=sinpi=0
so cosec3pi=1/0 which is undefined.
18. If f(x)=[xsin πx] {where [x] denotes greatest integer function}, then f(x) is:
since x denotes the greatest integers which could the negative or the positive values, also x has a domain of all real numbers, and has no discontinuous point, then x is continuous in (-1,0).
Answer: B]
20. Given that g(x)=1/(x^2+x-1) and f(x)=1/(x-3), then to evaluate the discontinuous point in g(f(x)) we consider the denominator of g(x) and f(x). g(x) has no discontinuous point while f(x) is continuous at all points but x=3. Hence we shall say that g(f(x)) will also be discontinuous at x=3. Hence the answer is:
C] 3
21. Given that f(x)=[tan² x] where [.] is greatest integer function, from this we can see that tan x is continuous at all points apart from the point 180x+90, where x=0,1,2,3....
This implies that since some points are not continuous, then the limit does not exist.
Answer is:
A]
<span>-1/3=x + 2/3
Subtract 2/3 from both sides
Final Answer: -3/3=x or -1=x *Both answers are equivalent to each other.</span>
