Question

ques is: determine f(0) so dt d function f(x) defined by f(x) = (cube of(4(pow x) -1))/{sinx/4}.log(1+{(sq of x)/3} becomes continuous at x=0.

Answer 1

first you multiply and divide this function by x/4
Now you can group (x/4)/(sin(x/4) and its limit to zero is 1

Answer 2

now divide and multiply it by (x^2)/3.
Now u can group x^2/3/ (ln (1 + x^2 / 3) and its limit to zero is 1

Answer 3

now ur left with
12 [(4^x - 1)/x]^3
right?

Answer 4

u there?

Answer 5

the limit of (a^x - 1)/x is ln a as x tends to zero
so ur left with 12(ln4)^3