Home
Class 12
MATHS
Show that, underset(x to 0) lim [tan(x...

Show that,
`underset(x to 0) lim [tan(x+(pi)/(4))]^((1)/(x))=e^(2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that, underset(x to 0) lim ((x-1+cosx)/(x))^(1/x)=(1)/(sqrt(e ))

Show that, underset(x to 0) lim(sin x+cos x)^((1)/(x))=e

Prove that, underset(x to 0) lim ((1+6x^(2))/(1+2x^(2)))^(1/x^(2))=e^(4)

Show that, underset(x to 0)lim (cos x)^(cot^(2)x)=(1)/(sqrt(e ))

underset(x to 1)lim (1-x) tan(pix//2) =

Show that, underset(x to 0) lim(1+sin 2x)^(cosec x)=e^(2)

lim_(x to 0) { tan ( x + pi/4) ] ^(l//x)

Evaluate: lim_(xto0)[tan(x+(pi)/(4))]^(1//x)

Show that, underset(x to (pi)/(2)) lim (1+cosx)^(3sec x)=e^(3)

(lim)_(x->0)[tan(pi/4+x)]^(1/x)