Find ("lim")(xvec0){tan(pi/4+x)}^(1//x)...

Find `("lim")_(xvec0){tan(pi/4+x)}^(1//x)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
LINEAR INEQUALITIES
CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(xto0){tan((pi)/4+x)}^(1/x)

If (lim)_(xvec0)[cot(pi/4+x)]^(1//x)=A e^2 then the value of A is: e^2 (B) e^(-4) (C) e (D) e^3

The value of lim_(xrarr0){tan((pi)/(4)+x)}^(1//x) , is

("lim")_(xvec1)(1-x)tan(pix)/2=_____

Evaluate: ("lim")_(xvec0) ((1+x)^(1/x)-e+1/2e x)/(x^2)

Evaluate the limits using the expansion formula of functions ("lim")_(xvec0)(e^x-1-x)/(x^2)

Evaluate: ("lim")_(xvec0)(tanx-sinx)/(x^3)

Evaluate the limits using the expansion formula of functions ("lim")_(xvec0){(sinx-x+(x^3)/6)/(x^5)}

Evaluate: ("lim")_(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

Evaluate ("lim")_(xvec0)((sinx)/x)^(((sinx)/(x-sinx)))

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions

Let f(x)=(x^2-9x+20)/(x-[x]) (where [x] is the greatest integer not gr...
Text Solution
|
Use formula lim(x->0)(a^x-1)/x=log(a) to find lim(x->0)(2^x-1)/((1+x)^...
Text Solution
|
Find ("lim")(xvec0){tan(pi/4+x)}^(1//x)
Text Solution
|
f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim(x->0)f^...
Text Solution
|
Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .
Text Solution
|
lim(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) no...
Text Solution
|
("lim")(xvec 0)((2^m+x)^(1/m)-(2^n+x)^(1/n))/xi se q u a lto 1/(m2^m)...
Text Solution
|
("lim")(xvec1)(1-x)tan(pix)/2=
Text Solution
|
If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...
Text Solution
|
("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...
Text Solution
|
underset(xto pi//2)lim(sin(xcosx))/(cos(xsinx)) is equal to
Text Solution
|
If lim(xrarr0)(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, then ...
Text Solution
|
If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...
Text Solution
|
("lim")(xvec1)((1-x)(1-x^2)...(1-x^(2n)))/({(1-x)(1-x^2)...(1-x^n)}^2)...
Text Solution
|
The value of lim(x->0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] repr...
Text Solution
|
The value of ("lim")(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(si...
Text Solution
|
The value of lim(x->oo)((2^(x^n))^(1/e^x)-(3^(x^n))^(1/e^x))/(x^n) (w...
Text Solution
|
Let lim(x->0)([x]^2)/(x^2)=l and lim(x->0)([x^2])/(x^2)=m , whe...
Text Solution
|
("lim")(xvec1)(xsin(x-[x]))/(x-1),w h e r e[dot] denotes the greatest ...
Text Solution
|
("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...
Text Solution
|