+91-87964 74404
FlagBACK
Question icon
Grade 11Differential Calculus

Please find the following limit
lim(x->inf) (x+2/x+1)x

Profile image of Kawal
12 Years agoGrade 11
Answers icon

1 Answer

Profile image of Jitender Singh
ApprovedApproved Tutor Answer12 Years ago
Ans:Hello student, please find answer to your question
L = \lim_{x\rightarrow \infty }(\frac{x+2}{x+1})^{x}
L = \lim_{x\rightarrow \infty }(1+\frac{1}{x+1})^{x}
L = \lim_{x\rightarrow \infty }(1+\frac{1}{x+1})^{\frac{x+1}{x+1}.x}
L = \lim_{x\rightarrow \infty }(1+\frac{1}{x+1})^{\frac{1}{x+1}} = e
L = e^{\lim_{x\rightarrow \infty }{\frac{x}{x+1}}}
L = e^1 = e

Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available

Last Activity: 4 Years ago