Recently Active Calculus Questions

k is a positive integer and | x | < 1 What is \lim_{n \to \infty} xn nk = ? answer supposd to be 0 ...

the value of \int_{-5}^{10}{f(x)dx} if f(x)=e^{2secx}ln(1+sinx/1-sinx) if -5\leq x\leq 5 5≤x≤5 f(x)=1 otherwise ...

let f: R→R f(x)= x x is irrational 1-x x is rational ...

if f(x)= sin-1([x]+x)/[x] ,[x]≠0 = 0 ,[x]=0 then find lim f(x) x→0 ...

what are inseterminates in limits chapter?give list of them ...

g(x) = ∫ cos4t dt , then g(x+π ) = ? { lower limit =0 upper limit= x} a. g(x) + g(π) b. g(x) - g(π) c.g(x) *g(π) d. g(x)/g(π) ...

g(x) = ∫ cos4t dt , then g(x+π ) = ? { lower limit =0 upper limit= x} a. g(x) + g(π) b. g(x) - g(π) c.g(x) *g(π) d. g(x)/g(π) ...

g(x) = ∫ cos4t dt , then g(x+π ) = ? { lower limit =0 upper limit= x} a. g(x) + g(π) b. g(x) - g(π) c.g(x) *g(π) d. g(x)/g(π) ...

Q1 lim [x2]+[(2x)2]+....[(nx)2]/n n→∞ Q2 check continuity of f(x) on [1,3] f(x)=[x2+1] ...

Q1. \int \frac{(x^2-1)dx}{(x^4+3x^2+1)tan^-^1\frac{x^2+1}{x}} ...

find the iintegration of 1/(cos3x- sin3x) wrt x ...

what is the integration of 2x/(x^2+1)???????? ...

Let I_n=\int \frac{dx}{(a+\sin{x})^n} Find the relations between I_n,I_{n+1}\ \text{and}\ I_{n+2} ...

Q1. Let f(x) = a[x] + belxl + clxl2, where a,b,c are real constants. If f(x) is differentiable at x=0, then: (a) b=0, c=0 a=R (b) a=c=0, b=R (c) a=b=0, c=R (d) None of these ...

∫2sinx/(3+sin2x) dx = ????? ...

1. ∫cos2x/ (1+tanx) dx 2. ∫[(x/e)x+(e/x)x] lnx dx ...

∫ x+ x2+2 dx = ? ...

What will be the graph of [y]=|sin x|+|cos x|?? ...

f(x)=mod(modx-1) find f'(x) ...

f(x)=1/lnx then no. of points at which function is discontinuous are?? ...

prove that sinx+2x≥[3x(1+x)]/∩ for xε(0,Π/2) ...

what is a point function ...

If f is a real-valued differentiable function satisfying |f(x) - f(y)| ≤ (x-y)2,x,y belong to R and f(0)=0,then f(1) equals a.1 b.2 c.0 d.-1 ...

if f(x) be twice differentiable function and f''(0)=2 then find limit of [2f(x)-3f(x)+f(x)]/x^2 ...

what is limit of (1+ax)^1/xhen x → ∞ ???????????? 0 ...

find the limit of (e^{x}-{x}-1)/{x}^2 when x→[a] where {.} denotes fractional part and [.] denotes integral part ...

if f(x) is deferentiable and strictly increasing funtion then the value of lim x→0 f(x2)-f(x)/ f(x)-f(0) is...... ...

find the discontinuity points of a point function ...

what is the integration of 1/(x^2+4x+5) ...

Yeah i know.I've only been posting ques on functions.But wat can i do.At the moment i am stuck wid this fordsaken chapter.But i do try to put up ood ques dat will not make u guys feel bored. So here are a few more of my doubt ...