Use the mean value theorem to prove `e^xgeq1+xAAx in R`

Use the mean value theorem to prove e^(x)ge1+xAA x(inR)

Use the mean value theorem to prove e^(x)>=1+x AA x in R

Cauchys mean value theorem

Using Lagrange's mean value theorem prove that, e^(x) gt 1 +x

Using mean value theorem, prove that tanx > x for all x(0,pi/2)dot

Using intermediate value theorem, prove that there exists a number x such that x^(2005)+1/(1+sin^2x)=2005.

Using intermediate value theorem, prove that there exists a number x such that x^(2005)+1/(1+sin^2x)=2005.

Using intermediate value theorem, prove that there exists a number x such that x^(2005)+1/(1+sin^2x)=2005.

Using Lagrange's mean value theorem prove that if b gt a gt 0 "then " (b-a)/(1+b^(2)) lt tan^(-1) b -tan^(-1) a lt (b-a)/(1+a^(2))

Using mean value theorem, prove that sin xltx,in(0.pi//2) .