Limits at infinity and end behavior
Grade 12 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Ari wants the limit of √(9x² + 1)/(2x + 3) as x → ∞. What is it?
Bo wants the limit of √(16x² + 1)/(3x + 1) as x → ∞. What is it?
Esme wants the limit of √(25x² + 1)/(4x − 7) as x → ∞. What is it?
Jun wants the limit of √(36x² + 1)/(5x + 2) as x → ∞. What is it?
A hot drink cools as T(t) = 18 + 50e^(−0.2t) °C after t minutes. Milo asks where T heads in the long run. What is the limit as t → ∞?
A hot drink cools as T(t) = 25 + 45e^(−0.08t) °C after t minutes. Noah asks where T heads in the long run. What is the limit as t → ∞?
Making club T-shirts costs $200 to set up plus $6 each, so the average cost is A(n) = (200 + 6n)/n dollars. Pia asks about huge orders. What is the limit as n → ∞?
Making class mugs costs $150 to set up plus $4 each, so the average cost is A(n) = (150 + 4n)/n dollars. Ren asks about huge orders. What is the limit as n → ∞?
Making team posters costs $90 to set up plus $3 each, so the average cost is A(n) = (90 + 3n)/n dollars. Tala asks about huge orders. What is the limit as n → ∞?
Making school caps costs $120 to set up plus $5 each, so the average cost is A(n) = (120 + 5n)/n dollars. Zee asks about huge orders. What is the limit as n → ∞?
