Question

find the value of k which function defined by {sinx/x+cosx,x≠0 {2k, x=0 is continuous at x=0​

Answer 1

Step-by-step explanation:

(i) f(0) = 2 (ii) lim(x→0)f(x)  = lim(x→0)  (sinx/x + cosx) = 1 + 1 = 2 (iii) lim(x→0)  f(x) = 2 = f(0) Thus, f(x) is continuous at x = 0Read more on Sarthaks.com - https://www.sarthaks.com/531354/show-that-the-function-f-x-is-given-by-f-x-sinx-x-cosx-x-0-2-x-0-is-continuous-at-x-0