Evaluate the following limits: x2 +7x - 14 a) lim 2x-5 b) lim tan(3x) - X...
7. Evaluate each of the following limits. tan x e-4x -e 4x a) lim x0 2x b) lim XOCOS X+1
3. Evaluate the limits x-2 (a) lim 2 (c) lim x-,2x2 +2 ?- (b) lim 2 im 2x +4 (d) Given f(x)x1 -1<x s 2 3-?
evaluate the limit if exsist e) lim x2-3x+2 *2-2x x-2 (x2-3x+2 x2 x2-2x yes, this is the SAME limit as in parte) Demonstrate ANOTHER (still algebraic/non-numerical) way to find this limit than you used in parte).
plz show steps thx 5. a) Evaluate st -2x + 7x? dx. b) Evaluate: [** sin(x* +1]dx. c) Evaluate: [(3x? –5x+4-4e”)dx
Calculus 1 MAT 201 Final Exam, Spring 1 2019, LAGCC Evaluate the following limits, you may use L'Hospital's rule, if it applies. -V31+4 lim 4-1 -4 a. b. Evaluate the following limit. lim xIn x x-0 2. Evaluate and explain your answer -xsin(x)+cos (x) x+1 130 dx (a.) 130 Differentiate each of the following below using the fundamental theorem of calc part 1 X cos? (1- 51) dt ) g (x) = S_ e (2c) g(t)= J x2t+1 3 Use...
Evaluate lim x→0 [(sin(tan x) − tan(sin x))/x^7?] [sin(tan x) – tan(sin x) 1.2.15 Evaluate lim x 0 7
z1(x) = 2x2 + tan x, z2(x) = x2 − 2x + tan x, z3(x) = x2 − 3x + tan x are solutions of a second order, linear nonhomogeneous equation L[y] = f (x). (a) Give a fundamental set of solutions of the corresponding reduced equation L[y] = 0. (b) Give the general solution of the nonhomogeneous equation L[y] = f (x).
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
solve please now Evaluate the following limit using Taylor series. 8 tan* *(x) – 8x+x lim x³0 33³ 8 tan (x) – 8x + x2 lim X-0 = (Simplify your answer.) 3x
find the limits analytically, show all steps x²–8 1. lim *+2 X-2 2. lim x3 Vx+1-2 x-3 1 3. lim 3+ x 3 x2 - 2x -15 4. lim *+-3 x2 + 4x +3 x0 X (4+ x)-16 5. lim X>0 x² - 4 6. lim 1+2 r -8 x x+sin x 7. lim 10 X sin²x 8. lim :-) x 3 sin(4x) 9. lim *** sin(3x) r? 10. lim 1981-COSI 1 11. lim x → X-1 = 1 12....