x² – 4x + 4 9. lim x' + 5x² – 14x b. as x→2 a. as x-0 x² + x x* + 2xª + x³ 10. lim- a. as x→0 b. as x→-1 1 - Vĩ r? - a? 11. lim I- 1- r 12. lim 1-ax - at (x + h)? – x? 13. lim h-0 (x + h)? – x? h 14. lim 2 + x 15. lim 16. lim- (2 + x) – 8 x/3 - 1 16 17. lim 1-i Vx - 1 18. lim I-64 Vx tan (2x) 20. lim cscx 19. lim X-0 tan (Tx) 21. lim sin (+ sin x 22. lim cos? (x – tan x) cos 2r - 1 sin x &r 23. lim I-0 3 sin r - x 24. lim 25. lim In (t – 3) 1-3+ 26. lim 2 In (2 – Vi) 2ez 28. lim 0* elz + 1 27. lim Vēcos (=/@) 0-0*

real analysis, show all work/steps please True or False? If f and f+g have limits at p, then g has a limit at p.

Topic :Limits   Give a value that is close to 3 but not equal to 3.

Calculus

point) Let f(x) = x² + x²¹ +e²x + e-2x. What is the behavior of each term as x → ∞o? Use "infinity" if the answer is oo or "-infinity" if the answer is -∞o. As x → ∞0, x². ->> As x → ∞0, x-¹ -> As x → ∞o, e²x → As x → ∞0, e-2x → What is the behavior of each term as x → -∞? Use "infinity" if the answer is co or "-infinity" if the answer is co. As x→ -00, x² → As x → -00, x-¯¹ → As x → -00, 2x - As x →-00, e-2x → What is the leading behavior of f(x) at ∞o? What is the leading behavior of f(x) at -00?