Continuity and DifferentiabilityHard

Question

If y = tan-1 + tan-1 + tan-1 + ...... to n terms,then is equal to

Options

A.
B.
C.
D.None of these

Solution

y = (tan-1 (x + 1) - tan-1x) + (tan-1 (x + 2) - tan-1(x + 1)) + .....+ (tan-1 (x + n) - tan-1 (x + (n - 1)))
⇒   y = tan-1 (x + n) - tan-1 (x)
Hence, 

Create a free account to view solution

View Solution Free
Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

If y = , then is equal to -...Let $f(x)$ be a continuous and twice differentiable even function on $\mathbb{R}$. If $f(4) = -4$, $f(-2) = 4$, $f(0) = ...The functions u = ex sin x; v = ex cos x satisfy the equation...Which of the following functions is discontinuous at x = a-...Function whose jump (non-negative difference of LHL & RHL) of discontinuity is greater that or equal to one, is/are -...