Question

Explain why a limit does not exist when x approaches to 2 for f(x) = √2 − x

Answer #1

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f(x,y) = (x^4-y^2) / (x^4 + y^2). show the following limit does
not exist, and explain why lim (x,y)->(0,0) f(x,y)

Determine each limit or explain why the limit does not
exist.
(a) lim(x,y)→(5,4) : (x − y − 1)/(√(x − y) − 1)
(b) lim(x,y)→(0,1) : (sin(x^(2) + y − 1))/(5y + x^(2) − 5)
(c) lim(x,y)→(3,2) : (4x + y)/(2x − 6)

Calculate each limit below, if it exists. If a limit does not
exist, explain why. Show all work.
\lim _{x\to 3}\left(\frac{x-3}{\sqrt{2x+3}-\sqrt{3x}}\right)
\lim _{x\to -\infty }\left(\frac{\sqrt{x^2+3x}}{3x+1}\right)

Let f(x)=7x^2+7. Evaluate
lim h→0 f(−1+h)−f(−1)/h
(If the limit does not exist, enter "DNE".)
Limit =

Let f be defined on the (0,infinity). Prove that the limit as x
approaches infinity of F(x) =L if and only if the limit as x
approaches 0 from the right of f(1/x) = L. Does this hold if we
replace L with either infinity or negative infinity?

Find the limit if it exists or show that the limit does not
exist.
lim (x,y) to (0,0). y^2 sin^2x/ x^4+y^4

Consider the function given byf(x, y)
=((y^2−2^x)/(2x^2+y^2))^3.Show that lim(x,y)→(0,0)f(x, y)does not
exist by computing the limit along the positivex-axis and the
positivey-axis.

1. if limit X approaches to 2 from the negative side then
evaluate the equation X-10/X-2
2. If limit X approaches to 3 from the positive site then
evaluate the equation X-11/X-3
3.Evaluate the following equation if limit X approaches to
infinity -11X^2+4X-4/8X-8
4. Evaluate the following equation if lim X approaches to
negative infinity -3X^2-9X+9/9X-6

Why does no reaction exist when the reactants are NaNO3 +
AgCLO4
Please explain

How do i find an indeterminate limit by hand?
ex. limit as x approaches inf. (x^2)*e^(2x)
ex. limit as x approaches 0 x-sinx/x-tanx

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