Question: 1) If the linear approximation centered at z = a is Lf(z) = o + 8(z a), then f(a) = a. a) True b) False

1) If the linear approximation centered at z = a is Lf(z) = o + 8(z a), then f(a) = a. a) True b) False 2) If the linear approximation centered at = = a is L{(z) = a + B(x a), then f'(a) = S. a) True b) False 3) If the linear approximation centered at z = a is L{(z) = a + B(z a), then L{(z) = T} .(z), where in T, o(x) is in general the nth degree Taylor polynomial for f(x) centered at x = a . a) True b) False 4) If Tho(z) = 3+ z + 42?%, then f'(0) = 1. a) True b) False 5) If Tho(z) = 3+ x + 422, then f\"(0) = 4. a) True b) False 6) If T5o(z) = 3+ z, then f\"(0) does not exist. a) True b) False 7) If f(z) =22 1+ O(a). Then z - f(z) = 222 2 + O(z*). a) True b) False

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