Q) The function 𝑓 defined by 𝑓(𝑥)={ (𝑥,f 𝑥≤1 5, if 𝑥= 1 is not continuous at(A) x=0(B) 𝑥

Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

Q) Simplest form of tan^(−1) ((√(1+cosx)+√(1−cosx))/(√(1+cosx)−√(1−cosx))), π=x=3π/2 is#class

Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i

Q) Show that the function 𝑓(𝑥)={(cos𝑥/(−𝑥+𝜋/2), 𝑥≠𝜋/2 1, 𝑥=𝜋/2 is continuous at x=𝜋/2.

Draw the graph of 𝑓(𝑥)=𝑠𝑖𝑛^(−1) 𝑥, 𝑥∈[−1/√2, 1/√2]. Also, write range of f(x). #trigonometry

Determine the Inverse of F(x): Step-by-Step Method

Q) The value of 𝑘 for which the function 𝑓(𝑥)={(𝑥^2 sin 1/𝑥, 𝑥≠0 𝑘(𝑥+1), 𝑥=0) is a continuo