{
"query": {
"display": "$$\\lim_{x\\to\\:-1}\\left(f\\left(x\\right)\\right)$$",
"symbolab_question": "BIG_OPERATOR#\\lim _{x\\to -1}(f(x))"
},
"solution": {
"level": "PERFORMED",
"subject": "Calculus",
"topic": "Limits",
"subTopic": "SingleVar",
"default": "f(-1)",
"meta": {
"showVerify": true
}
},
"steps": {
"type": "interim",
"title": "$$\\lim_{x\\to\\:-1}\\left(f\\left(x\\right)\\right)=f\\left(-1\\right)$$",
"input": "\\lim_{x\\to\\:-1}\\left(f\\left(x\\right)\\right)",
"steps": [
{
"type": "step",
"primary": "Plug in the value $$x=-1\\:$$, assuming the function is continuous at this point",
"result": "=f\\left(-1\\right)"
}
],
"meta": {
"solvingClass": "Limits",
"practiceLink": "/practice/limits-practice",
"practiceTopic": "Limits"
}
},
"plot_output": {
"meta": {
"plotInfo": {
"variable": "x",
"plotRequest": "yes"
},
"showViewLarger": true
}
},
"meta": {
"showVerify": true
}
}
Solution
Solution
Solution steps
Plug in the value , assuming the function is continuous at this point
Graph
Popular Examples
parity 1.1^x+9^xdxparity derivative of (40)/(x^9)derivative of limit as x approaches-1 of (x^3)/(x^2+1)(\partial)/(\partial x)(ue^{2x})integral of (-8)/((x-2)(x^2+4))
Frequently Asked Questions (FAQ)
What is the limit as x approaches-1 of f(x) ?
The limit as x approaches-1 of f(x) is f(-1)