drag the cards below to show Andrey's path to finding the limit.

Minli's teacher gave her a flow chart (below) and asked her to find lim h() for 2 sin(x) 1 - cos(2x) Calculating lim f (x) x -> a A. Direct substitution Try to evaluate the function directly. f (a) f(a) = . f(a) =b f (a) = " where b is not zero where b is a real number B. Asymptote C. Limit found D. Indeterminate form (probably) (probably) Try rewriting the limit in an equivalent form. E. Factoring F. Conjugates G. Trig identities Try evaluating the limit in its new form. H. Approximation When all else fails, graphs and tables can help approximate limits. Drag the cards below to show Minli's path to finding the limit. A. Direct substitution B. Asymptote C. Limit found D. Indeterminate form E. Factoring F. Conjugates G. Trig identities H. Approximation