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7. Assuming f'(c) exists, find the following limits. please do f! 126 f (c +2h)-f(c) (a)...
Assuming f'(c) exists, find the following limits. a. limh0 f(c+2h) – f(c) b. limn40 f(c+nh) – f(c), for n 70 c. limh-0 f (ch)-f(c) d. limh40 f(c+h??-f(0) e. limno f(c+h)=f(c=h) f. lim so f(c+sin h)-f(c) h
please do #7
the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
1. Use the given graph of f(x) to find the following values of the function and limits: 0 (d) (e) (a) (b) (C) f(-3) - 80- f(2)= (4) lim f(x) lim f(x)= lim f(x)- lim f(x)= lim /(x)- lim f(x)= lim f(x)= lim f(x)- lim f(x)= lim /(x)= lim f(x)= 2. Use the given graph of f(x) to find the following values of the function and limits: lim f(x)= x = 1) AD 2 3 (a) (c) (d) e) (b)...
need asap
se the properties of limits to help decide whether the limit exists. If the limit exists, find its value. 7) lim+12xs+27 x-+-9x+9 A) 216 B) 12 C) Does not existD)-6 ifferentiate. 8)f(x) =4x4-7x3-3 8) , A) f'(x) = 16x3-21x2-7 C) f(x) = 4x3 + 3x2 B) Px)-4x3 3x2-7 D) f(x) 16x3 -21x2 9) y (2 2 9) dy )4.6x5 + 20x3 + 24x B)-=6x5 + 24x3 + 24x c a24x3+24x = 6x5 +12x3 +12x D) dx 10) 10)...
solve d-f
Find the limits and show your work. Use L'Hospital's Rule where appropriate. (a) lim-0 tan 3.0 2.2 1 (b) limu+0+ In(X) (c) limx→ In(x + 3) – In(3x + 2) (d) limz+ x sin(5) (e) lim.+ 22-45 4" +3: (f) limo (#2) (g) lim + (e+ + a)*
2. For the function f(x)= (2x² – 3, x>2 19-2x, x<2 find the limits or explain why they do not exist. (a) lim f(x) 1-2+ (b) lim f(x) (e) lim f(x) X2
if one sided limits are required to find the values
please state the one sided limits. plus if value doesn't exist give
proper justification. thank you.
2x2 + 4.1 - 6 L-4. Given R(x) = 72 +5.0 +6 Wo lam 14/20,... Find the following limits. If one-sided limits are required to find the values, state the one-sided limits as well. If the value does not exist, write DNE with a justification. (a) lim R(x) Wo lam (b) lim R(q) Wo...
2.3 Finding Limits Analytically: 3. X + 6 Example. For g(x) find x2 – 36' 1. lim g(x) 20 2. lim g(x) 0-6 Suppose lim f(x) = 4, lim g(x) = 5 and lim h(x) = 8. 4. 2+2 2+2 2+2 a) lim f (2) - g(2) h(x) -2 b) lim (6 f(x)g(x) + h(x)) 1-2
2. (7 points each) Find the exact value of each of the following limits. Write "..." "-00," or "does not exist" if appropriate. It is particularly important to show your work on this problem 1 - 12 (a) lim 2+-1 2-1 12x + 1 (b) lim -100402 +9 sin?(0) (c) lim 3.12 1-0 4. Evaluate the following integrals 22/3 – x5/4 dx (a) (9 points) 1 (b) (8 points) / 72 (c) (8 points) / 9 sin() + cos(22) de...
1. Find each of the following limits, with justification. If there is an infinite limit, then explain whether it is oo or -0. (a) (4 points) lim (In x)2 000 2 sin (2) (b) (4 points) lim xaIn(*) 1+0+ (c) (4 points) lim In(x) 27 2020 + e-