Question

Find the limits, or state that the limit does not exist (you must justify answer): a)...

Find the limits, or state that the limit does not exist (you must justify answer):

a) \lim_(x->\infty )(\sqrt(x^(2)+2x)-\sqrt(x^(2)-x))

b) \lim_(x->\infty )(lnx-ln(sin x))

c) \lim_(x->\infty )x^((1)/((lnx)))

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Calculate each limit below, if it exists. If a limit does not exist, explain why. Show...
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)
Find the limit if it exists or show that the limit does not exist. lim (x,y)...
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
Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter...
Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter DNE.) lim x→∞ (6x2 − 7) / (7x2 + x − 3)
Determine each limit or explain why the limit does not exist. (a) lim(x,y)→(5,4) : (x −...
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)
Find the limits, if they exist, or type DNE for any which do not exist. lim(x,y)→(0,0)5x^2/2x^2+y^2...
Find the limits, if they exist, or type DNE for any which do not exist. lim(x,y)→(0,0)5x^2/2x^2+y^2 1) Along the xx-axis: 2) Along the yy-axis: 3) Along the line y=mxy=mx : 4) The limit is:
1. Find the area of the shaded region. 2. Find the limit. Use l'Hospital's Rule where...
1. Find the area of the shaded region. 2. Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → 0 1 + 10x − 1 − 3x x 3. Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→1 1 − x + ln(x) 1 + cos(9πx) 4. Find the limit. Use l'Hospital's Rule if appropriate. If there is...
Evaluate the limit. (If an answer does not exist, enter DNE.) lim x→0+ (9x)sin(4x)
Evaluate the limit. (If an answer does not exist, enter DNE.) lim x→0+ (9x)sin(4x)
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x,...
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) x2 + y2/square root (x2 + y2+ 25)-5
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′...
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′ ( a ), what is the slope of the tangent line to f ( x )at x = 18? (6 points execution, 2 points notation) b) Find the equation of the tangent line at x = 18 14. State the derivative. a) d/ d x [ x ^n ] b) d /d x [ cos ⁡ x ] c) d /d x [ csc...
1. Evaluate the limit lim x→0 sin4x /7x 2. In which limits below can we use...
1. Evaluate the limit lim x→0 sin4x /7x 2. In which limits below can we use L'Hospital's Rule? select all that apply. lim x→∞ e^−x /x lim x→0 1−e^x /sin(2x) lim x→0 x+tanx /sinx lim x→−∞ e^−x /x