Evaluate the lim h->0 (f'(5+h)-f'(5))/h

Q: lim sin E+ cos x)

A:

Q: What can we conclude about lim(x,y)->(0,0) f(x,y) from the given function and its level curve graph?

A: General equation of curve along any c is yx=c. Thus get equation for y2: yx=c  y2x2=c y2=cx2

Q: 1-cos(x) Find lim x-0 2x

A:

Q: Find the limit: Lim x-->0  2 sin2 3x / 3x2

A: you know that:

Q: Find the limit if it exists: lim x->0       (sin(3x)) / (x(3x2 - 5))

A:

Q: 1) lim-sinx x-0 2) lim - (x . tan x

A: According to the guidelines of company I can only answer first question since you have asked…

Q: limit as x approaches infinity of (e^x + e^-x)/(e^x - e^-x)

A: Consider the given expression of which limit has to be calculated:

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: How do you evaluate the limit:  limx-->0  (sin(4x))/9x WITHOUT using L'Hospital's Rule?

A: A property:L'Hospital's Rule is not necessary here.The following is an important property used in…

Q: lim x to (0) cosecx - cotx

A: Find the limit as follows:

Q: x-sin 2x Find lim 2х

A:

Q: Find the limit: limx→0 (sinx−x)/x^3

A: Please see the answer in Step 2

Q: Find the limit. lim x--> 0  sin x/2x-sin x

A:

Q: Give an example of a function that is not continuous at x = 2 but limx→2 f(x) = 1

A: choose any equation of line such that f(2)=1 but the function function f(x) should be discontinued…

Q: How do you find the limit as x-0 for the function (sinx)/2x

A: Please refer the attached image for complete solution.

Q: 2) lim-(x-) ta tan x

A:

Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

A:

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

A:

Q: Evaluate the limit: limx->0 (sin x)3/ln x

A:

Q: x - sin x 2. Find lim x - 0 x - tan x

A:

Q: State the definition of the derivative of a function f. Use the definition of the derivative to…

A:

Q: The process by which we determine limits of rational functions appliesequally well to ratios…

A: The limit of a function at a variable is equal to the value of the function when the value of the…

Q: Find limit sinax lim x→0 sinbx

A:

Q: lim (In x)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find lim tanx-x x2 sinx X

A:

Q: calculate lim x--> 0 tanx/x

A:

Q: 1-cos*x 5. lim X-0 xsinx

A: Given,

Q: Find the limit  lim x-->infinity:  1/2x + sinx

A:

Q: Find lim 1-CoS 3X Xう。 tan x -1 lim メー X - X->

A: Solution is given below..

Q: limit as x approaches 0+ (in the positive direction) of the function (sqrtx)^x

A: Given, f(x)= (sqrt x)^x= xx/2 = eln(x^(x/2)) = e(xln(x))/2

Q: 1) lim-sinxr x-0

A: given equation is     limx-->0  (x-sinx) / x³ ** L hospital rule =>    limx-->0  f(x) /…

Q: find the limit of lim x->3 sin(x-3)/x^2-x-6

A: To find limx→3sinx-3x2-x-6

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A: Solution. :

Q: 4- lim Vsin x

A:

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: Find the limit. lim x→0  sin(x7) x

A:

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

A:

Q: Investigate limit x 0 sin(pie/x)

A: Here we need to find the following limit:

Q: b) By using "L'Hopital rule"; Find the limits of:- (1) lim,o In (sec x) 3x 2) lim,* (tan x)*

A:

Q: 1f. lim (tanx)x x->0+

A: Given,

Q: ind the limit. lim x→0  sin(3x)    7x

A: Consider the given expression: limx→0sin3x7x We know that, limx→0sinxx=1

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: limit as x approaches infinity of (-1)x+1

A: Apply the limit.

Q: Limit x approaches to minus infinity under root 5-x

A: Property used: limx→∞f(x)=limx→∞f(x) Some properties of ∞: ∞+a=∞∞b=∞∞=∞

Q: lim f(x)=3 x-->5- and lim f(x)=1 x-->5+

A:

Q: 2. Evaluate the limit by Use the definition of the derviative to compute the derivative of f(x) = 1…

A: Given,

Q: tanx is :- of lim (X) メー→o The Value

A: Given,

Q: lim tan x x- ->

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.