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Limit of function

Let us calculation (resolution) limits of functions at a point. The function f(x). Compute its limit at x0

Enter the function and the point to which we must calculate the limit

Symbol of limit
Point ↑ Function f(x) ?
Example: x^2+2*x+exp(-x)*sin(x)/(x^2-1)

Other examples entries functions limit

  • Limit example
    • 0
    • (x^2-1)/(2*x^2-x-1)
  • Limit example
    • 1
    • (x^2-1)/(2*x^2-x-1)
  • Limit example
    • +oo
    • (x^2-1)/(2*x^2-x-1)
  • Limit example
    • 0
    • ((1+x)*(1+2*x)*(1+3*x)-1)/x
  • Limit example
    • 0
    • ((1+x)^5-(1+5*x))/(x^2+x^5)
  • Limit example
    • +oo
    • (x-1)*(x-2)*(x-3)*(x-4)*(x-5)/(5*x-1)^5
  • Limit example
    • 0
    • ( cos(x*e^x) - cos(x*e^(-x)) )/x^3
  • Limit example
    • 0
    • ( sinh(x) )^2 / ln( cosh(3*x) )

Terms of the input functions

In expression f you can do the following operations:
Real numbers
introduce in the form 7.5, not 7,5
2*x
- multiplication
3/x
- division
x^3
- exponentiation
x + 7
- addition
x - 6
- subtraction
Function f may consist of functions (symbols are given in alphabetical order):
absolute(x)
Function - absolute value x (module x or |x|)
arccos(x)
Function - arccosine of x
arccosh(x)
Function - arccosine hyperbolic of x
arcsin(x)
Function - arcsine of x
arcsinh(x)
Function - arcsine hyperbolic of x
arctan(x)
Function - arctangent of x
arctanh(x)
Function - arctangent hyperbolic of x
e
Function - e this is something that is approximately equal to 2.7
exp(x)
Function - exponent of x (same as e^x)
floor(x)
Function - rounding x downward (sample floor(4.5)==4.0)
log(x) or ln(x)
Function - Natural logarithm of x (For log7(x), must enter log(x)/log(7) (or, for example log10(x)=log(x)/log(10))
pi
Number - "Pi", which is approximately equal to 3.14
sign(x)
Function - Badge x
sin(x)
Function - Sinus of x
cos(x)
Function - Cosinus of x
sinh(x)
Function - Sinus hyperbolic of x
cosh(x)
Function - Cosinus hyperbolic of x
sqrt(x)
Function - Square root of x
x^2
Function - Square x
tan(x)
Function - Tangent of x
tanh(x)
Function - Tangent hyperbolic of x

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