MAT 121 Lecture 1: page 1

Instructor: Dr. Yunjiao Wang 1. Determine whether the following statements are true or false. (a) Suppose f(z) is a function of one variable f is continuous at z = 3 if f,(3) exists. (b) Suppose f( ) is afunction of more than one variable, where = (zi,--,Zn)/ (c) Suppose /(/) is a function of incre than one variable, whereェ= ( , ' ). f (d) Suppose /(Z) is a function of more than one variable, whereェ= (n, ), f (e) Suppose f(r) is a function of more than one variable, where i (rn). is continuous at if exist at fo for all i = 1, , n. is continuous at to if are continuous at ro for all i 1, n. is differentiable at i。if at are continuous at ro for all i 1, , n. is continuous at ro if f is differentiable at ro