If a function f has no limit as x approaches c, then we say that lim f(x)

Q: lim x 1. x- 3.

A: Follow the procedure given below.

Q: Evaluate the limit.

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: Find the limit (if it exist).

A: Given,

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Evaluate the limit: lim (x - Inx)* x→0+

A: Using limit definition

Q: Find the limit of the equation.

A: Limit x-> pi/4 means x is approaching pi/4 .Plug x=pi/4 in the expression.

Q: Give the two-step method for evaluating a limit of the form lim f(x)8(x).

A:

Q: x² – 1 lim x→1 x – 1

A:

Q: Evaluate the limit.

A: Given limx→0tan4x9x

Q: Find the limit, if it exists. 2. lim X - 00 4x + sin x

A:

Q: Find Limit Using Squeeze Theorem: 2. If 2x – 2s f(x)<x² – 4x + 3 for x 2 0, find lim f(x).

A:

Q: Find the limit. lim_(x→∞)xsin(1/2)

A:

Q: Find the limit. lim (2 – x)7 tan(=) x→1

A: It is asked to evaluate the given limit. For solving the problem we need to know some basic…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given:  fx=x,x≤11-x,x&gt;1 we have to find limx→1+fx we know that when x&gt;1, fx=1-x

Q: Evaluate the limit lim (Ky)-(0.0) x +3y

A:

Q: Find lim f(x) and determine if continuous at x =2 エ→2

A: We have to check

Q: Find the one-sided limit (if it exists).

A: Given limit: limx→12-xsecx

Q: lim x 00 (( + 1)*

A:

Q: Find the one-sided limit (if it exists).

A: Given: limx→0+x-1x+3 for evaluating given limit, we put x=0+ in given limit

Q: If the limit of two different functions, lim f(x) and lim g(x) XC exist, then so does lim[f(x) -…

A: for example limx-&gt;2f(x)= 5limx-&gt;2g(x)=∞ f(x) and g(x) exists now find the limit f(x)-g(x) when…

Q: Find the limit of lim, 1 f (x) if f (x) = 3 - x, if x +1 and f (x) = 1, if x = 1

A: For the  given statement

Q: QUESTION 2 Prove using the definition of a limit that lim x² + y2 -y = 4. >

A:

Q: 4) Determine the limit. lim 1 f(x), where f(x): X + 10 X-- 10-

A: Given, f(x)= 1/(x+10)

Q: Find the one-sided limit (if it exists).

A: Given :                       f(x) = limx→2- 1x2-43

Q: Find the limit: limx 1(x2 + x + 2)/( x + 1)

A:

Q: Find the limit. sin(x - 5) lim x* + 4x - 45

A: Given : limx→5sinx-5x2+4x-45

Q: Find the one-sided limit (if it exists).

A: To find the limit limx→0-1+1x. We know that 10-=-∞. Evaluating the given limit,…

Q: find the one-sided limit ( if it exists)

A: The given limit is,

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→0-xx

Q: Find the one-sided limit (if it exists).

A: We will find the limit numerically.

Q: Evaluate the limit. 5 sin(x) – 5x lim x3

A:

Q: Find the one-sided limit (if it exists).

A:

Q: Find the one-sided limit (if it exists).

A:

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: The function f(x) of the below graph is discontinuous at x = -1 because: a) f(-1) does not exist b)…

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Left hand limit: Right hand limit:

Q: Find the one-sided limit (if it exists).

A: Given, limx→0+sin(x)+1x

Q: Find the limits

A: Consider the following limit: limx→0tanx=tan0=0

Q: If there is no single value that is approached by f(x) as x approaches a, then lim f(x) does not X→a…

A: If there is no single Value that is approached by f(x) as x approaches a,then limit of f(x) as x…

Q: Suppose that f (x) is a function such that lim f(r) and lim f (r) both exist. Does this mean lim…

A:

Q: Use the limit definition of the derivative f (x) – f(a) f'(a) = lim - a to find f'(a) in each case.…

A: Given fx=x3-7

Q: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

Q: Evaluate the limit. x2 – 2x + sinr lim

A:

Q: 3 - If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D limit or one sided…

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Q: SAQ 2: If f(x) = then using the table of values show that lim f(x) does exist %3D X-1 and find the…

A:

Q: ■ Find the limit.

A: To evaluate the limit: limx→2π-x cscx Solution: We know that limx→2π-sinx=0- Now, evaluating the…

Q: |x| does not exist. Show that the limit lim x 0 X

A: Given: limx→0xx

Q: Find the limit x lim- +x+2 X + x +1

A: