Find an orthonormal basis u \, u2, m3 of R3 such that span(Mi) = spanandspan(5j, M2) = span1 1 - 1

L9 - 4 Functions that are continuous The following familiar functions are continuous for each x in their domain: Polynomials Rational functions Root functions Trigonometric and Inverse Trigonometric functions Exponential functions Logarithmic functions Theorem. (Basic Laws of Continuity) If functions f and g are continuous at c and k is a constant, then the following functions are also continuous at x = c: f f ± g , f · g , kf and if g(c) ▯=0 g This can be veriﬁed by the Basic Limit Laws. Theorem. (Continuity of Composite Functions) If g is continuous at x = c and f is continuous at g(c), then the composition f ◦ g is continuous at x = c.