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Strategy in finding limits

AP.CALC: LIM‑1 (EU), LIM‑1.E (LO), LIM‑1.E.1 (EK)


Minli's teacher gave her a flow chart (below) and asked her to find limit, start subscript, x, \to, start fraction, pi, divided by, 4, end fraction, end subscript, h, left parenthesis, x, right parenthesis for h, left parenthesis, x, right parenthesis, equals, start fraction, 2, sine, left parenthesis, x, right parenthesis, divided by, 1, minus, cosine, left parenthesis, 2, x, right parenthesis, end fraction.
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