If x' s f(x) s x² for x in [-1,1] and x s f(x) < x' for x <-1 and x > 1, at what points c do you automatically know lim, »e f(x)? What can you say about the value of the limit at these points?

Q: 3-v49 B) Without using L'Hopital's rule, find: lim

A:

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: of Quolients. 17. lim Imit Se -dy

A:

Q: By considering different paths of approach, show that the limit xY COS Y lim does not exist.…

A:

Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given: Plugging the limit directly, we get:

Q: 2) By using E-S definition of limit, show lim (x+y+xy)cos÷ cos 음-0 COS (xy)(0,0)

A: Let f(x)=x+y+xy cos1x cos1y

Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A:

Q: lim (sec x-tan x)

A: Given: limx→3π2- sec(x)-tan(x)  Compute the limit analytically.

Q: Estimate the limit numerically or state that the limit doesn't exist lim x→0  sin(4x)/x

A: Before we get into the evaluation of this limit, let's recall the fundamental rule of limit as shown…

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A:

Q: lim as x--&gt;0  of (x+1-cosx)/x

A: The given limit of the function:

Q: Find the limit (if it exists). (If the limit does not exist, enter DNE.) - (x² - -/-) lim

A: The given limit limx→0-x2-3x

Q: Use l'Hopital's Rule to evaluate the limit. lim X x→0 sin x O 1 O -1

A: This question is related to the limits, we will solve it using given information.

Q: limit as x----0 for the function (px)/(sqrt(bx+a^2))-a using L'Hopitals

A: Apply the limit.

Q: limf(x) does not care what happens While a limit exactly at x = c because the limit is concerned…

A:

Q: 1 () X. lim х+ sin X→+∞

A: The objective of the question is evaluate the limit of the given function.

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: b) Use L'Hopital's rule to find the limit: 1/In x (In xv lim

A:

Q: Estimate the limit numerically or state that the limit doesn't exist: sec-{z) lim z¬1+ vz²-1 (Enter…

A:

Q: 4 Find the limit: lim sin(x) (Enter undefined if the limit does not exist.)

A: The given limit limx→04x-4sin(x)

Q: X- Zx +3x+2 lim

A: Solution of question as follows

Q: compute limit as x goes to 0 of (sin(x)-x)/(x^3)

A:

Q: Use L 'Hopital's Rule to find the limit:

A:

Q: Evaluate. (a) limit as x goes to 0 -&gt; (tanx)/(2x) (b) limit as x goes to 5 -&gt; (-1)/(x-5)2 (c)…

A: a) The limit can be evaluated as.

Q: Use L 'Hopital's Rule to find the limit:

A: To find the limit

Q: In(1+ x?) lim x-0 x3

A:

Q: compute limit as x goes to infinity of xe^-x

A: Given,            limx→∞x e-x

Q: By considering different paths, show that the limit doesn’t exist. lim (x,y)→(0,0) xy cos y/ 3x2+y2

A: Answer

Q: b): By using L'Hopital rule to evaluate the limit tan x - sin ac lim 23 sin x

A: We need to find limit.

Q: Lim of √x, as x approaches to 4. Prove using epsilon delta deffinition

A:

Q: Find the limit by rewriting the fraction first. x- y + 5/x - 5Vy lim Vx - Vy (ху) -- (0,0) x#y x- y…

A: limx,y→0,0x-y+5x-5yx-y =limx,y→0,0x-yx+y+5x-5yx-y =limx,y→0,0x-yx+y+5x-yx-y

Q: 1b. Use L'Hopital's Rule to find the Limit:    lim      2tanx/sec2x x-&gt;pi/2

A: To find the limit

Q: estimate the limit numerically to two decimal places or state that the limit does not exist

A: Given limit is  We will evaluate this limit by direct substitution because exists at x=-2, that is…

Q: 2. Find the limit of the following function by using L’Hopital's Rule. In x lim - х>0 CSC X

A:

Q: How do you evaluate the limit:  limx--&gt;0 (1-cos(7t))/(sin(7t))   WITHOUT using L'Hospital's rule?

A: Since the given function is function of  variable t but in question limit is given for variable x.…

Q: . Suppose f(т/3) — 5, f (т/3) — —3,а sin(3та) 2->0 sin(5Tx) . Find the limit: lim

A:

Q: Suppose that lim as x approaches infinity of f(x) + x^2 = L for some number L. Then lim as x…

A:

Q: lim x→0 for sin(4x)/3x

A:

Q: x2 + 2x + 1 lim x--2 x2 + x +1

A: There is no need for L hospital as the limit can be evaluated directly.

Q: 1f. Use L'Hopital's Rule to find the Limit: lim (tanx)x x-&gt;0+

A: Given,

Q: find the limit lim as x approaches 0 from the right of (square root of x) / (ln (1+x))

A: We need to evaluate the given limit.limx→0+xln1+x

Q: How would I find the limit of the attached equation using L'hopitals Rule?

A:

Q: Let f(x) = ln x / sin^-1 x    analyze the limit : lim x--&gt; 1- (from the left) f(x)

A: Given information:The given function is

Q: -x e lim In(1+4e-x)

A: The answer is 1/4